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statistics
elementary statistics in social research

Questions and Answers of Elementary Statistics In Social Research

Determine whether the events are mutually exclusive. Explain your reasoning.1. Event A: Roll a 3 on a die.Event B: Roll a 4 on a die.2. Event A: Randomly select a male student.Event B: Randomly
1. You select a card from a standard deck of 52 playing cards. Find the probability that the card is a 4 or an ace.2. You roll a die. Find the probability of rolling a number less than 3 or rolling
The frequency distribution shows volumes of sales (in dollars) and the number of months in which a sales representative reached each sales level during the past three years. Using this sales pattern,
A blood bank catalogs the types of blood, including whether it is Rh-positive or Rh-negative, given by donors during the last five days. The number of donors who gave each blood type is shown in the
Use the figure at the right to find the probability that a randomly selected draft pick is not a running back or a wide receiver. NFL Rookies A breakdown by position of the 253 players picked in the
Event A: Randomly select a student who studies for more than 5 hours daily.Event B: Randomly select a student who studies for less than 2 hours daily.Determine whether the events are mutually
Event A: Randomly select a female badminton player.Event B: Randomly select a badminton player who is 25 years old.Determine whether the events are mutually exclusive. Explain your reasoning.
A class has 60 students. Of these, 35 students are male and 20 students know how to play a musical instrument. Of the male students, five can play musical instruments. Find the probability that a
Of the mobile phones produced by a company, 97% do not have a poor battery life, 95% do not have a corrupt operating system, and 93.5% do not have a poor battery life and do not have a corrupt OS.
Of the cameras produced by a company, 8% have a flash problem, 12% have a focus malfunction, and 0.9% have both a flash issue and a focus malfunction. Find the probability that a randomly selected
You roll a die. Find the probability of each event.(a) Rolling a 6 or a number greater than 4(b) Rolling a 2 or a prime number(c) Rolling a number less than 5 or an odd number
A card is selected at random from a standard deck of 52 playing cards. Find the probability of each event.(a) Randomly selected a black suit or a king(b) Randomly selected a diamond or a face card(c)
The estimated percent distribution of the U.S. population for 2025 is shown in the pie chart. Find the probability of each event.(a) Randomly selecting someone who is under 5 years old(b) Randomly
Marijuana Use The percent of college students’ marijuana use for a sample of 95,761 students is shown in the pie chart. Find the probability of each event.(a) Randomly selecting a student who never
The table shows the result of a survey that asked 4087 people whether they wore contacts or glasses. A person is selected at random from the sample. Find the probability of each event.(a) The person
The objective of a 9 × 9 Sudoku number puzzle is to fill the grid so that each row, each column, and each 3 × 3 grid contain the digits 1 through 9. How many different ways can the first row of a
Find the number of ways of forming four-digit codes in which no digit is repeated.
Each year, 33 race cars start the Indianapolis 500. How many ways can the cars finish first, second, and third?
A building contractor is planning to develop a subdivision. The subdivision is to consist of 6 one-story houses, 4 two-story houses, and 2 split-level houses.In how many distinguishable ways can the
A state’s department of transportation plans to develop a new section of interstate highway and receives 16 bids for the project. The state plans to hire four of the bidding companies. How many
A student advisory board consists of 17 members. Three members will be chosen to serve as the board’s chair, secretary, and webmaster. Each member is equally likely to serve in any of the
Find the probability of being dealt 5 diamonds from a standard deck of 52 playing cards.
A food manufacturer is analyzing a sample of 400 corn kernels for the presence of a toxin. In this sample, three kernels have dangerously high levels of the toxin.Four kernels are randomly selected
7C5 = 7C2 Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
9P5 Perform the indicated calculation.
14P3 Perform the indicated calculation.
8C3 Perform the indicated calculation.
3P2/13P1 Perform the indicated calculation.
You have won nine different trophies. How many different ways can you arrange the trophies side by side on a shelf?
The starting lineup for a baseball team in an international match is 12 players. How many different batting orders are possible using the starting lineup?
There are 20 finalists in an inter-school dancing competition. The top three students will receive prize money. How many ways can the dancers finish first through third?
At a blood drive, 5 donors with type O+ blood, 7 donors with type A+ blood, and 3 donors with type B+ blood are in line. In how many distinguishable ways can the donors be in line?
A class has 50 students. In how many different ways can five students form a group to work on a class project? (Assume the order of the students is not important.)
A food inspection office is analyzing milk samples from 75 vendors for adulteration. The milk supplied by six of the vendors have high levels of adulteration. Five vendors are randomly selected from
The Council of Australian governments has 10 members. Two members are chosen to serve as the executive committee members. Each council member is equally likely to serve in these positions. What is
A salad shop offers eleven sauces. No sauce is used more than once. What is the probability that the sauces in a four-sauce salad are mayonnaise, mustard, barbecue, and red chili?
In a state lottery, you must correctly select 7 numbers (in any order) out of 70 to win the top prize. You purchase one lottery ticket. What is the probability that you will win the top prize?
A company that has 200 employees chooses a committee of 5 to represent employee retirement issues. When the committee is formed, none of the 56 minority employees are selected.(a) Use technology to
Find the probability of choosing six second-shift workers.A warehouse employs 24 workers on first shift, 17 workers on second shift, and 13 workers on third shift. Eight workers are chosen at random
Probability affects decisions when the weather is forecast, when medications are selected, and even when players are selected for professional sports teams.Although intuition is often used for
A student has to choose a menu consisting of a soup, a sandwich and a dessert from choices of 3 soups, 5 sandwiches and 2 desserts. How many ways can the student choose the menu?Use the Fundamental
The registration numbers of candidates appearing for an examination have four letters followed by three digits. Assuming that any letter or digit can be used, how many different registration numbers
Based on the results of a life-testing experiment, a manufacturer says there is a 0.07 probability that a randomly chosen component will last for 3 hours.Classify the statement as an example of
The probability of randomly selecting an ace from a standard deck of 52 playing cards is about 0.077.Classify the statement as an example of classical probability, empirical probability, or
The chance that it will rain tomorrow is 25%.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The probability that a person will be able to swim 20 miles is 40%.Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your
The probability of getting a sum of 10 or 11 when a pair of dice is rolled is 5 36.Classify the statement as an example of classical probability, empirical probability, or subjective probability.
Rolling a die three times, getting two sixes, and rolling it a fourth time and getting a two.Determine whether the events are independent or dependent. Explain your reasoning.
Participating in a training camp for running marathons and successfully completing a marathon run.Determine whether the events are independent or dependent. Explain your reasoning.
Regularly attending the lectures of a course and passing that course.Determine whether the events are independent or dependent. Explain your reasoning.
You are given that P(A) = 0.35 and P(B´) = 0.25. Do you have enough information to find P(B) and P(A and B)? Explain.Determine whether the events are independent or dependent. Explain your reasoning.
Two balls are drawn from a bag containing 20 white and 5 black balls. In the first draw a ball is drawn at random and then replaced in the bag. In the second, a ball is drawn again at random. Find
A bag has 12 white, 10 red and 8 black balls. What is the probability that without looking in the bag, you will first select and remove a white ball, and then select either a red or black ball? Is
Event A: Randomly select a person who is a professional singer.Event B: Randomly select a person who is a professional dancer Determine whether the events are mutually exclusive. Explain your
Event A: Randomly select a U.S. citizen of Indian origin..Event B: Randomly select a U.S. citizen of Chinese origin.Determine whether the events are mutually exclusive. Explain your reasoning.
In a random sample of 300 male professionals it is found that 40% play golf, 60% play soccer and 30% play both golf and soccer. Find the probability that a person selected at random from this sample
In a community 60% of the population speaks English, 30% speaks Spanish and 15% speaks both English and Spanish. Find the probability that a randomly chosen person from this community speaks English
A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the card is between 7 and 10, inclusive, or is black.Find the probability.
A 10-sided die, numbered 1 to 10, is rolled. Find the probability that the roll results in an even number or a number greater than 6.Use the pie chart at the left, which shows the percent
11P2 Perform the indicated calculation.
7C4 Perform the indicated calculation.
Six different letters are to be put in six envelopes of different colors in a manner that each envelope gets only one letter. In how many ways can this be done?Use combinations and permutations.
A basketball coach has to choose 5 players from a list of 12 players. In how many ways can the coach choose the 5 players?Use combinations and permutations.
In a game of cards you are dealt a hand of six cards at random from a standard deck of 52 cards. You are declared winner if you are being dealt an ace, two kings and three queens. Find the
A code consists of two distinct letters followed by three digits. The last digit cannot be 0 or 1.What is the probability of guessing the security code on the first try?Use counting principles to
A batch of 100 mobile phones contains 5 smartphones. What is the probability that a sample of three phones will have(a) no smartphones?(b) all smartphones?(c) at least one smartphone?(d) at least one
A batch of 200 laptops contains three defective laptops. You choose three laptops at random. What is the probability that you have(a) no defective laptops?(b) all three defective laptops?(c) two
A panel consists of three female and seven male experts. Three experts are chosen at random from this panel to serve in a selection committee. What is the probability of choosing(a) three men?(b) all
The access code for a warehouse’s security system consists of six digits. The first digit cannot be 0 and the last digit must be even. How many access codes are possible?
The table shows the numbers (in thousands) of earned degrees by level in two different fields, conferred in the United States in a recent year.A person who earned a degree in the year is randomly
Which event(s) in Exercise 2 can be considered unusual? Explain.Data from Exercises 2The table shows the numbers (in thousands) of earned degrees by level in two different fields, conferred in the
Determine whether the events are mutually exclusive. Then determine whether the events are independent or dependent. Explain your reasoning.Event A: A bowler having the highest game in a 40-game
From a pool of 30 candidates, the offices of president, vice president, secretary, and treasurer will be filled. In how many different ways can the offices be filled?
A shipment of 250 netbooks contains 3 defective units. Determine how many ways a vending company can buy three of these units and receive(a) no defective units.(b) all defective units.(c) at least
In Exercise 6, find the probability of the vending company receiving(a) no defective units.(b) all defective units.(c) at least one good unit.Data from Exercises 6A shipment of 250 netbooks contains
Determine whether each random variable x is discrete or continuous. Explain your reasoning.1. Let x represent the number of Fortune 500 companies that lost money in the previous year.2. Let x
An industrial psychologist administered a personality inventory test for passive-aggressive traits to 150 employees. Each individual was given a whole number score from 1 to 5, where 1 is extremely
Verify that the distribution for the three-day forecast and the number of days of rain is a probability distribution. Days of rain, x 0 1 2 3 Probability, P(x) 0.216 0.432 0.288 0.064
Determine whether each distribution is a probability distribution. Explain your reasoning. 1. x 5 6 7 8 P(x) 0.28 0.21 0.43 0.15 2. x 1 2 P(x) 14 3 51 4 -1
The probability distribution for the personality inventory test for passive aggressive traits discussed in Example 2 is shown below. Find the mean score.Data from Example 2An industrial psychologist
The probability distribution for the personality inventory test for passiveaggressive traits discussed in Example 2 is shown below. Find the variance and standard deviation of the probability
At a raffle, 1500 tickets are sold at \($2\) each for four prizes of \($500,\) \($250,\) \($150,\) and \($75.\) You buy one ticket. Find the expected value and interpret its meaning.
Let x represent the number of times a book is issued from the library.Determine whether the random variable x is discrete or continuous. Explain.
Let x represent the weight of a student’s school bag.Determine whether the random variable x is discrete or continuous. Explain.
The number of Sedan cars per household in a small town(a) construct a probability distribution,(b) graph the probability distribution using a histogram and describe its shape. Cars 0 1 2 3 381 259
The number of movies watched by the residents of a locality per week(a) construct a probability distribution,(b) graph the probability distribution using a histogram and describe its shape. Number of
Use the probability distribution you made in Exercise 19 to find the probability of randomly selecting a household that has(a) one or two cars,(b) less than two cars,(c) between one and three cars,
Use the probability distribution you made in Exercise 20 to find the probability of randomly selecting a resident of the locality who watches(a) two or three movies,(b) more than three movies,(c)
In Exercise 19, would it be unusual for a household to have three Sedan cars? Explain your reasoning.Data from Exercises 19The number of Sedan cars per household in a small town Cars 0 1 2 3 381 259
In Exercise 20, would it be unusual for a resident to not watch any movie in a week at all? Explain your reasoning.Data from Exercises 20The number of movies watched by the residents of a locality
The number of books per shelf in a library(a) find the mean, variance, and standard deviation of the probability distribution,(b) interpret the results. Books 0 1 2 3 4 5 Probability 0.002 0.018
The number of countries who played Women’s Cricket World Cup from 1973 through 2013(a) find the mean, variance, and standard deviation of the probability distribution,(b) interpret the results.
The number of defects per 1000 LED lamps inspected(a) find the mean, variance, and standard deviation of the probability distribution,(b) interpret the results. Defects 0 1 2 3 4 5 Probability 0.440
The number of A grades received in different subjects per student(a) find the mean, variance, and standard deviation of the probability distribution,(b) interpret the results. Grades 0 1 2 3 4 5 6 7
Construct a frequency histogram for the data set using seven classes.Use the data set shown in the table at the left, which represents the actual liquid volumes (in ounces) in 25 twelve-ounce cans.
Construct a relative frequency histogram for the data set using seven classes.Use the data set shown in the table at the left, which represents the actual liquid volumes (in ounces) in 25
Use a stem-and-leaf plot to display the data set. Describe any patterns.Use the data set, which represents the pollution indices for 24 U.S. cities. 22 41 46 50 38 57 65 49 41 23 38 65 28 36 63 54 33
Use a dot plot to display the data set. Describe any patterns.Use the data set, which represents the pollution indices for 24 U.S. cities. 22 41 46 50 38 57 65 49 41 23 38 65 28 36 63 54 33 28 53 32
Six test scores are shown below. The first 4 test scores are 15% of the final grade, and the last two test scores are 20% of the final grade. Find the weighted mean of the test scores.80 70 84 93 89
The weights (in lbs) of 14 newborn babies.Find the range, mean, variance, and standard deviation of the population data set. 7 5 12 12 6 9 11 4 7 6 8 7 10 9

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