Questions and Answers of Elementary Statistics Excel

In a U.S. Cellular survey of 500 smartphone users, subjects are asked if they find abbreviations (such as LOL or BFF) annoying, and each response was recorded as “yes” or “other.”
In a USA Today poll, subjects were asked if passwords should be replaced with biometric security, such as fingerprints. The results from that poll have been used to create the accompanying table.
The YSORT method of gender selection, developed by the Genetics & IVF Institute, was designed to increase the likelihood that a baby will be a boy. When 291 couples use the YSORT method and give
Using the same SAT questions described in Exercise 2, is 8 a significantly low number of correct answers for someone making random guesses?Exercise 2There are 80 questions from an SAT test, and they
The YSORT method of gender selection, developed by the Genetics & IVF Institute, was designed to increase the likelihood that a baby will be a boy. When 291 couples used the YSORT method and gave
Using the same SAT questions described in Exercise 2, is 20 a significantly high number of correct answers for someone making random guesses?Exercise 2There are 80 questions from an SAT test, and
Are the values found in Exercise 2 statistics or parameters? Why?Exercise 2There are 80 questions from an SAT test, and they are all multiple choice with possible answers of a, b, c, d, e. For each
The random variable x represents the number of phone calls the author receives in a day, and it has a Poisson distribution with a mean of 7.2 calls. What are the possible values of x? Is a value of x
There are 80 questions from an SAT test, and they are all multiple choice with possible answers of a, b, c, d, e. For each question, only one answer is correct. Find the mean and standard deviation
Find the probability that exactly three of the five adults have credit cards.
A study addressed the issue of whether pregnant women can correctly predict the gender of their baby. Among 104 pregnant women, 57 correctly predicted the gender of their baby (based on data from
Using the same sample space and assumption from Exercise 35, find the probability that when a couple has four children, all four are of the same gender.Exercise 35Use this sample space listing the
Quicken Loans offered a prize of $1 billion to anyone who could correctly predict the winner of the NCAA basketball tournament. After the “play-in” games, there are 64 teams in the tournament.a.
Exercise 33 lists the sample space for a couple having three children. After identifying the sample space for a couple having four children, find the probability of getting three girls and one boy
Using the same sample space and assumption from Exercise 33, find the probability that when a couple has three children, there are exactly two girls.Use the given sample space or construct the
How many different ways can you touch two or more fingers to each other on one hand?Express all probabilities as fractions.
Refer to the table used for Exercises 9–20.Assume that one order is randomly selected. Let A represent the event of getting an order from McDonald’s and let B represent the event of getting an
Use this sample space listing the eight simple events that are possible when a couple has three children (as in Example 2 on page 155): {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. Assume that boys and
In the game of blackjack played with one deck, a player is initially dealt 2 different cards from the 52 different cards in the deck. A winning “blackjack” hand is won by getting 1 of the 4 aces
Mendel conducted some his famous experiments with peas that were either smooth yellow plants or wrinkly green plants. If four peas are randomly selected from a batch consisting of four smooth yellow
In a recent year in the United States, 83,600 passenger cars rolled over when they crashed, and 5,127,400 passenger cars did not roll over when they crashed. Find the probability that a randomly
In the same study cited in the preceding exercise, among the 47,637 patients transported by helicopter, 188 of them left the treatment center against medical advice, and the other 47,449 did not
As of this writing, the Mega Millions lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 75 and, in a separate drawing, you
On their first date, Kelly asks Mike to guess the date of her birth, not including the year.a. What is the probability that Mike will guess correctly? (Ignore leap years.)b. Would it be unlikely for
One of the longest words in standard statistics terminology is “homoscedasticity.” How many ways can the letters in that word be arranged?Express all probabilities as fractions.
DJ Marty T is hosting a party tonight and has chosen 8 songs for his final set (including “Daydream Believer” by the Monkees). How many different 8-song playlists are possible (song order
A classic counting problem is to determine the number of different ways that the letters of “Mississippi” can be arranged. Find that number.Express all probabilities as fractions.
Find the negative predictive value for the test. That is, find the probability that a subject does not have hepatitis C, given that the test yields a negative result. Does the result make the test
Benjamin Franklin said that death is a certainty of life.Express the indicated degree of likelihood as a probability value between 0 and 1.
Sydney Smith wrote in “On the Conduct of the Understanding” that it is impossible to fit a square peg in a round hole.Express the indicated degree of likelihood as a probability value between 0
If three different orders are selected, find the probability that they are all not accurate.Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains
With a short time remaining in the day, a FedEx driver has time to make deliveries at 6 locations among the 9 locations remaining. How many different routes are possible?Express all probabilities as
Find the positive predictive value for the test. That is, find the probability that a subject has hepatitis C, given that the test yields a positive result. Does the result make the test appear to be
If three different orders are selected, find the probability that they are all from Wendy’s.Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains
If you randomly select five digits, each between 0 and 9, with repetition allowed, what is the probability you will get the author’s ZIP code?Express all probabilities as fractions.
Based on an Adecco survey of hiring managers who were asked to identify the biggest mistakes that job candidates make during an interview, there is a 50–50 chance that they will identify
When four golfers are about to begin a game, they often toss a tee to randomly select the order in which they tee off. What is the probability that they tee off in alphabetical order by last
In a horse race, an exacta bet is won by correctly selecting the horses that finish first and second, and they must be in the order that they finished. The 140th Kentucky Derby race was run with 19
If one order is selected, find the probability of getting an order from Burger King or Taco Bell or an order that is accurate.Use the data in the following table, which lists drive-thru order
When using a computer to randomly generate the last digit of a phone number to be called for a survey, there is 1 chance in 10 that the last digit is zero.Express the indicated degree of likelihood
Using Braun battery-powered alarm clocks, the author estimates that the probability of failure on any given day is 1/1000.(a) What is the probability that the alarm clock works for an important
If one order is selected, find the probability of getting an order from McDonald’s or Wendy’s or an order that is not accurate.Use the data in the following table, which lists drive-thru order
As of this writing, the Powerball lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 69 and, in a separate drawing, you must
Based on a report in Neurology magazine, 29.2% of survey respondents have sleepwalked.Express the indicated degree of likelihood as a probability value between 0 and 1.
In the Pennsylvania Cash 5 lottery, winning the top prize requires that you select the correct five different numbers between 1 and 43 (in any order). What is the probability of winning the top
The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is randomly selected, what is the probability that it is the shortest
Based on a Harris poll, if you randomly select a traveler, there is a 43% chance that his or her luggage is black.Express the indicated degree of likelihood as a probability value between 0 and 1.
At Hogwarts School of Witchcraft and Wizardry, the Sorting Hat chooses one of four houses for each first-year student. If 4 students are randomly selected from 16 available students (including Harry
When making a random guess for an answer to a multiple choice question on an SAT test, the possible answers are a, b, c, d, e, so there is 1 chance in 5 of being correct.
When testing for current in a cable with five color-coded wires, the author used a meter to test two wires at a time. How many different tests are required for every possible pairing of two
If you make a random guess for the answer to a true>false test question, there is a 50–50 chance of being correct.Express the indicated degree of likelihood as a probability value between 0 and
The author owns a safe in which he stores all of his great ideas for the next edition of this book. The safe “combination” consists of four numbers between 0 and 99, and the safe is designed so
Assume that 50 births are randomly selected. Use subjective judgment to describe the given number of girls as(a) Significantly low,(b) Significantly high, or(c) Neither significantly low nor
If one order is selected, find the probability of getting an order that is not accurate or is from Wendy’s. Are the events of selecting an order that is not accurate and selecting an order from
A survey with 12 questions is designed so that 3 of the questions are identical and 4 other questions are identical (except for minor changes in wording). How many different ways can the 12 questions
It has been reported that 20% of iPhones manufactured by Foxconn for a product launch did not meet Apple’s quality standards. An engineer needs at least one defective iPhone so she can try to
Assume that 50 births are randomly selected. Use subjective judgment to describe the given number of girls as(a) Significantly low,(b) Significantly high, or(c) Neither significantly low nor
If one order is selected, find the probability of getting an order from McDonald’s or an order that is accurate. Are the events of selecting an order from McDonald’s and selecting an accurate
Use subjective probability to estimate the probability of randomly selecting a car and getting one that is black.
In a horse race, a quinela bet is won if you selected the two horses that finish first and second, and they can be selected in any order. The 140th running of the Kentucky Derby had a field of 19
Find the probability of randomly selecting 1 of the subjects and getting 1 who developed flu, given that the subject was given the vaccine treatment. Use the following results from tests of an
Assume that 50 births are randomly selected. Use subjective judgment to describe the given number of girls as(a) Significantly low,(b) Significantly high, or(c) Neither significantly low nor
If one order is selected, find the probability of getting an order that is not accurate.Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data
If 3 drivers are randomly selected without replacement, find the probability that none of them were killed. Use the data in the accompanying table and express all results in decimal form. (The data
If radio station call letters must begin with either K or W and must include either two or three additional letters, how many different possibilities are there?Express all probabilities as fractions.
Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement). Find the probability that for one such
Find the probability of randomly selecting 2 subjects without replacement and finding that they both developed flu. Use the following results from tests of an experiment to test the effectiveness of
Assume that 50 births are randomly selected. Use subjective judgment to describe the given number of girls as(a) Significantly low,(b) Significantly high, or(c) Neither significantly low nor
If one order is selected, find the probability of getting food that is not from McDonald’s.Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains
Your professor has just collected eight different statistics exams. If these exams are graded in random order, what is the probability that they are graded in alphabetical order of the students who
If 1 of the 1602 subjects is randomly selected, find the probability of getting 1 who had the vaccine treatment and developed flu. Use the following results from tests of an experiment to test the
Example 2 in this section includes the sample space for genders from three births. Identify the sample space for the genders from two births. Example 2 Sample Space: Complete List of Simple Events
If A represents the event of randomly selecting one driver included in the table and getting someone who was using a seatbelt, what does A? represent? Find the value of P(A?). Use the data in the
In soccer, a tie at the end of regulation time leads to a shootout by three members from each team. How many ways can 3 players be selected from 11 players available? For 3 selected players, how many
In the United States, the true probability of a baby being a boy is 0.512 (based on the data available at this writing). Among the next six randomly selected births in the United States, what is the
If you are asked on a quiz to give the first (leftmost) nonzero digit of the Avogadro constant and, not knowing the answer, you make a random guess, what is the probability that your answer is the
In a Harris survey, adults were asked how often they typically travel on commercial flights, and it was found that P(N) = 0.330, where N denotes a response of “never.” What does P(N̅) represent,
If 2 drivers are randomly selected with replacement, find the probability that they both were killed. Use the data in the accompanying table and express all results in decimal form. (The data are
In a horse race, a quinela bet is won if you selected the two horses that finish first and second, and they can be selected in any order. The 140th running of the Kentucky Derby had a field of 19
Assuming that boys and girls are equally likely, find the probability of a couple having a boy when their third child is born, given that the first two children were both girls.Find the probability.
“Who discovered penicillin: Sean Penn, William Penn, Penn Jillette, Alexander Fleming, or Louis Pasteur?” If you make a random guess for the answer to that question, what is the probability that
According to the Bureau of Transportation, 80.3% of American Airlines flights arrive on time. What is the probability of randomly selecting an American Airlines flight that does not arrive on time?
If 2 drivers are randomly selected without replacement, find the probability that they both used seatbelts. Use the data in the accompanying table and express all results in decimal form. (The data
The typical combination lock uses three numbers, each between 0 and 49. Opening the lock requires entry of the three numbers in the correct order. Is the name “combination” lock appropriate? Why
Find the probability that when a couple has three children, at least one of them is a girl. (Assume that boys and girls are equally likely.)Find the probability.
Given below are the systolic blood pressure measurements (mm Hg) and blood platelet counts (1000 cells/?L) of the first few subjects included in Data Set 1 ?Body Data? in Appendix B. Construct a
Estimate the probability that the next time you ride in a car, the car gets a flat tire.
Which of the following are probabilities? 0 3/5 5/3 -0.25 250% 7:3 1 50-50 5:1 0.135 2.017 3/5
A U.S. Cellular survey of smartphone users showed that 26% of respondents answered “yes” when asked if abbreviations (such as LOL) are annoying when texting. What is the probability of randomly
The typical combination lock uses three numbers, each between 0 and 49. Opening the lock requires entry of the three numbers in the correct order. Is the name “combination” lock appropriate? Why
Based on data from the Pew Internet Project, 74% of adult Internet users use social networking sites. If two adult Internet users are randomly selected, what is the probability that they both use
Estimate the probability that the next time you turn on a light switch, you discover that a bulb does work.
When randomly selecting an adult, let B represent the event of randomly selecting someone with type B blood. Write a sentence describing what the rule of complements is telling us: P(B or B̅) = 1.
When selecting one of your Facebook Friends, let event F = female and let event H = high school classmate. Use your own words to translate the notation P(H|F) into a verbal statement.
If a month is randomly selected after mixing the pages from a calendar, what is the probability that it is a month containing the letter y?
While this exercise was being created, Weather.com indicated that there was a 60% chance of rain for the author’s home region. Based on that report, which of the following is the most reasonable
Find the probability of randomly selecting a driver and getting one who was killed given that the driver was not using a seatbelt. Use the data in the accompanying table and express all results in
Let A = the event of getting at least 1 defective iPhone when 3 iPhones are randomly selected with replacement from a batch. If 5% of the iPhones in a batch are defective and the other 95% are all
As the author is creating this exercise, a weather reporter stated that there is a 20% chance of rain tomorrow. What is the probability of no rain tomorrow?
Rewrite the following statement so that the likelihood of rain is expressed as a value between 0 and 1: “The probability of rain today is 25%.”

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