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Business Statistics
Construct a PDF table.Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 35% of the time, four events 25% of the time,
Find the probability that Javier volunteers for less than three events each month. P(x < 3) = _______ Javier volunteers in community events each month. He does not do more than five events in a
Find the probability that Javier volunteers for at least one event each month. P(x > 0) = _______ Javier volunteers in community events each month. He does not do more than five events in a month. He
In words, define the random variable X.Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16 business majors in the group and
What values does X take on?Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16 business majors in the group and seven
In words, define the random variable X.Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16 business majors in the group and
X ~ _____(_____,_____)Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are 16 business majors in the group and seven non-business
What values does the random variable X take on?The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and
Construct the probability distribution function (PDF).The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges
On average (μ), how many would you expect to answer yes?The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year
What is the standard deviation (σ)?The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in
What is the probability that at most five of the freshmen reply “yes”?The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270
What is the probability that at least two of the freshmen reply “yes”?The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270
In words, define the random variable X.The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities
X ~ _____(_____,_____)The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S.
What values does the random variable X take on?The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and
Construct the probability distribution function (PDF). Stop at x = 6.The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270
On average (μ), how many freshmen would you expect to have to ask until you found one who replies "yes?"The Higher Education Research Institute at UCLA collected data from 203,967 incoming
What is the probability that you will need to ask fewer than three freshmen?The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from
Assume the event occurs independently in any given day. Define the random variable X.On average, a clothing store gets 120 customers per day.
What values does X take on?On average, a clothing store gets 120 customers per day.
What is the probability of getting 150 customers in one day?On average, a clothing store gets 120 customers per day.
What is the probability of getting 35 customers in the first four hours? Assume the store is open 12 hours each day.On average, a clothing store gets 120 customers per day.
What is the probability that the store will have more than 12 customers in the first hour?On average, a clothing store gets 120 customers per day.
What is the probability that the store will have fewer than 12 customers in the first two hours?On average, a clothing store gets 120 customers per day.
Which type of distribution can the Poisson model be used to approximate? When would you do this?
Assume the event occurs independently in any given day. In words, define the random variable X.On average, eight teens in the U.S. die from motor vehicle injuries per day. As a result, states across
X ~ _____(_____,_____)On average, eight teens in the U.S. die from motor vehicle injuries per day. As a result, states across the country are debating raising the driving age.
What values does X take on?On average, eight teens in the U.S. die from motor vehicle injuries per day. As a result, states across the country are debating raising the driving age.
For the given values of the random variable X, fill in the corresponding probabilities.On average, eight teens in the U.S. die from motor vehicle injuries per day. As a result, states across the
Is it likely that there will be no teens killed from motor vehicle injuries on any given day in the U.S? Justify your answer numerically.On average, eight teens in the U.S. die from motor vehicle
Is it likely that there will be more than 20 teens killed from motor vehicle injuries on any given day in the U.S.? Justify your answer numerically.On average, eight teens in the U.S. die from motor
A group of Martial Arts students is planning on participating in an upcoming demonstration. Six are students of Tae Kwon Do; seven are students of Shotokan Karate. Suppose that eight students are
In one of its Spring catalogs, L.L. Bean® advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear.
Suppose that a technology task force is being formed to study technology awareness among instructors. Assume that ten people will be randomly chosen to be on the committee from a group of 28
Suppose that nine Massachusetts athletes are scheduled to appear at a charity benefit. The nine are randomly chosen from eight volunteers from the Boston Celtics and four volunteers from the New
A bridge hand is defined as 13 cards selected at random and without replacement from a deck of 52 cards. In a standard deck of cards, there are 13 cards from each suit: hearts, spades, clubs, and
According to a recent article the average number of babies born with significant hearing loss (deafness) is approximately two per 1,000 babies in a healthy baby nursery. The number climbs to an
Define the random variable and list its possible values.Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the
State the distribution of X.Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty
Find the probability that at least four of the 25 patients actually have the flu.Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance
On average, for every 25 patients calling in, how many do you expect to have the flu?Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance
People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given Table 4.5. There is five-video limit per
A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 18% of students
The expected number of wins for that upcoming month is:a. 1.67b. 12c. 382/1043d. 4.43 Let X = the number of games won in that upcoming month.The probability that the San Jose Sharks will win any
What is the probability that the San Jose Sharks win six games in that upcoming month?a. 0.1476b. 0.2336c. 0.7664d. 0.8903 The probability that the San Jose Sharks will win any given game is 0.3694
What is the probability that the San Jose Sharks win at least five games in that upcoming montha. 0.3694b. 0.5266c. 0.4734d. 0.2305
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 70% of the questions
A student takes a 32-question multiple-choice exam, but did not study and randomly guesses each answer. Each question has three possible choices for the answer. Find the probability that the student
Six different colored dice are rolled. Of interest is the number of dice that show a one.a. In words, define the random variable X.b. List the values that X may take on.c. On average, how many dice
More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 13 such institutions. We are interested
Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating students is randomly chosen.a. In words, define the random variable X.b. List the values that X may
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 25 fencers at The Fencing Center. We are interested in the number of fencers who do not use the foil as
Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 60 seniors is randomly chosen. Of interest is the number who
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 20-year period.
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey 11 California residents. We are interested in the number who have
There are two similar games played for Chinese New Year and Vietnamese New Year. In the Chinese version, fair dice with numbers 1, 2, 3, 4, 5, and 6 are used, along with a board with those numbers.
According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 150 people in Uganda. Let X = the number of people who have access to
The literacy rate for a nation measures the proportion of people age 15 and over that can read and write. The literacy rate in Afghanistan is 28.1%. Suppose you choose 15 people in Afghanistan at
A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car
Suppose that the probability that an adult in America will watch the Super Bowl is 40%. Each person is considered independent. We are interested in the number of adults in America we must survey
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a
In one of its Spring catalogs, L.L. Bean® advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear.
Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F be the event of rolling a four or a five. You are interested in how many times you need to roll the
Ellen has music practice three days a week. She practices for all of the three days 85% of the time, two days 8% of the time, one day 4% of the time, and no days 3% of the time. One week is selected
The World Bank records the prevalence of HIV in countries around the world. According to their data, “Prevalence of HIV refers to the percentage of people ages 15 to 49 who are infected with
According to a recent Pew Research poll, 75% of millenials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millenials you ask until you find a
The switchboard in a Minneapolis law office gets an average of 5.5 incoming phone calls during the noon hour on Mondays. Experience shows that the existing staff can handle up to six calls in an
The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the busiest in the world with an average of 60 births per day. Let X = the number of births in an
A manufacturer of Christmas tree light bulbs knows that 3% of its bulbs are defective. Find the probability that a string of 100 lights contains at most four defective bulbs using both the binomial
The average number of children a Japanese woman has in her lifetime is 1.37. Suppose that one Japanese woman is randomly chosen.a. In words, define the random variable X.b. List the values that X may
The average number of children a Spanish woman has in her lifetime is 1.47. Suppose that one Spanish woman is randomly chosen.a. In words, define the Random Variable X.b. List the values that X may
Fertile, female cats produce an average of three litters per year. Suppose that one fertile, female cat is randomly chosen.In one year, find the probability she produces:a. In words, define the
The chance of having an extra fortune in a fortune cookie is about 3%. Given a bag of 144 fortune cookies, we are interested in the number of cookies with an extra fortune. Two distributions may be
According to the South Carolina Department of Mental Health web site, for every 200 U.S. women, the average number who suffer from anorexia is one. Out of a randomly chosen group of 600 U.S. women
The chance of an IRS audit for a tax return with over \($25,000\) in income is about 2% per year. Suppose that 100 people with tax returns over \($25,000\) are randomly picked. We are interested in
Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 60 seniors is randomly chosen. Of interest is the number that
On average, Pierre, an amateur chef, drops three pieces of egg shell into every two cake batters he makes. Suppose that you buy one of his cakes.a. In words, define the random variable X.b. List the
In words, the random variable X = _________________a. the number of times Mrs. Plum’s cats wake her up each week.b. the number of times Mrs. Plum’s cats wake her up each hour.c. the number of
Find the probability that her cats will wake her up no more than five times next week.a. 0.5000b. 0.9329c. 0.0378d. 0.0671
Fill in the blankX ~ N(1, 2)σ = _______
In a survey, 40 people were asked how many times they visited a store before making a major purchase. The results areshown in Table 2.34. Number of times in store Frequency 1 4 2 10 3 16 4 6 5 4
In a survey, several people were asked how many years it has been since they purchased a mattress. The results are shown in Table 2.35. Years since last purchase Frequency 0 1 2 8 2 3 4 13 22 16 5 9
Several children were asked how many TV shows they watch each day. The results of the survey are shown in Table 2.36. Number of TV Shows Frequency 0 1 12 18 2 36 3 7 4 2 Table 2.36
The students in Ms. Ramirez’s math class have birthdays in each of the four seasons. Table 2.37 shows the four seasons, the number of students who have birthdays in each season, and the percentage
Using the data from Mrs. Ramirez’s math class supplied in Exercise 2.4, construct a bar graph showing the percentages.Exercise 2.4,The students in Ms. Ramirez’s math class have birthdays in each
David County has six high schools. Each school sent students to participate in a county-wide science competition. Table 2.38 shows the percentage breakdown of competitors from each school, and the
Use the data from the David County science competition supplied in Exercise 2.6. Construct a bar graph that shows the county-wide population percentage of students at each school.Exercise 2.6.David
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four
What does the frequency column in Table 2.39 sum to? Why? Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency Table 2.39
What does the relative frequency column in Table 2.39 sum to? Why? Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency Table 2.39
To construct the histogram for the data in Table 2.39, determine appropriate minimum and maximum x and y values and the scaling. Sketch the histogram. Label the horizontal and vertical axes with
Construct a frequency polygon for the following: a. b. Pulse Rates for Women Frequency 60-69 12 70-79 14 80-89 11 90-99 1 100-109 1 110-119 0 120-129 1 Table 2.40 Actual Speed in a 30 MPH Zone
Construct a frequency polygon from the frequency distribution for the 50 highest ranked countries for depth of hunger. Depth of Hunger Frequency 230-259 21 260-289 13. 290-319 5 320-349 7 350-379 1
Use the two frequency tables to compare the life expectancy of men and women from 20 randomly selected countries.Include an overlayed frequency polygon and discuss the shapes of the distributions,
Construct a times series graph for(a) the number of male births,(b) the number of female births, and(c) the total number of births. 1857 Male Total Sex/Year 1855 1856 1858 1859 1860 Female 45,545
The following data sets list full time police per 100,000 citizens along with homicides per 100,000 citizens for the city of Detroit, Michigan during the period from 1961 to 1973.a. Construct a
Listed are 29 ages for Academy Award winning best actors in order from smallest to largest.18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74;
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest.18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71;
Jesse was ranked 37th in his graduating class of 180 students. At what percentile is Jesse’s ranking?
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