Question
1. 2, 3, 4, 5, 6 (a) Find the range. (b) Use the defining formula to compute the sample standard deviation s . (Round your
1. 2, 3, 4, 5, 6
(a) Find the range. (b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.) (c) Use the defining formula to compute the population standard deviation . (Round your answer to two decimal places.)
2. A recent survey of 1050 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.
3. John runs a computer software store. Yesterday he counted 133 people who walked by the store, 66 of whom came into the store. Of the 66, only 29 bought something in the store. (Round your answers to two decimal places.)
(a) Estimate the probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
4. Consider the probability distribution shown below. x 0 1 2 P(x) 0.55 0.40 0.05 Compute the expected value of the distribution. Incorrect: Your answer is incorrect.
Compute the standard deviation of the distribution. (Round your answer to four decimal places.)
5. Consider a binomial experiment with n = 9 trials where the probability of success on a single trial is p = 0.20. (Round your answers to three decimal places.)
(a) Find P(r = 0).
(b) Find
P(r 1) by using the complement rule.
6. Consider a binomial experiment with n = 4 trials where the probability of success on a single trial is p = 0.45. (Round your answers to three decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) Find P(r = 0).
(b) Find P(r 1) by using the complement rule.
7. A fair quarter is flipped three times. For each of the following probabilities, use the formula for the binomial distribution and a calculator to compute the requested probability. Next, look up the probability in the binomial probability distribution table. (Enter your answers to three decimal places.)
(a) Find the probability of getting exactly three heads. (b) Find the probability of getting exactly two heads. (c) Find the probability of getting two or more heads. (d) Find the probability of getting exactly three tails.
8. Richard has just been given a 4-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all four questions, find the indicated probabilities. (Round your answers to three decimal places.)
(a)What is the probability that he will answer all questions correctly?
(b)What is the probability that he will answer all questions incorrectly?
(c)What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table.
(e)Then use the fact that P(r 1) = 1 P(r = 0).
(f)What is the probability that Richard will answer at least half the questions correctly?
9. Richard has just been given a 8-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all eight questions, find the indicated probabilities. (Round your answers to three decimal places.)
(a)What is the probability that he will answer all questions correctly?
(b)What is the probability that he will answer all questions incorrectly?
(c)What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive events and the probabilities shown in the binomial probability distribution table.
(d)Then use the fact that P(r 1) = 1 P(r = 0).
(e)What is the probability that Richard will answer at least half the questions correctly?
10. Which of the following are examples of a population? (Select all that apply.) a. people in Colorado b. percentage of people who own a car c. antelope in Wyoming d. proportion of students who graduate e. students in your school
11. A simple random sample of n measurements from a population is a subset of the population selected in a manner such that which of the following is/are true? (Select all that apply.) a. Every sample of size n from the population has an equal chance of being selected. b. The simplest method of selection is used to create a representative sample. c. Every member of the population has an equal chance of being included in the sample. d. Each subset of the population has an equal chance of being included in the sample. e. Every sample of size n from the population has a proportionally weighted chance of being selected
12, Give three examples of population parameter from the following. (Select all that apply.) a. b. c. p d. p e. x f. s
13. What types of inferences will we make about population parameters? (Select all that apply.) a. causation b. implied c. estimation d. testing
14. Which of the following are possible examples of sampling distributions? (Select all that apply.) a. all mean trout lengths in a sampled lake b. mean trout lengths based on samples of size 5 c. average SAT score of a sample of high school students d. average male height based on samples of size 30 e. heights of college students at a sampled university
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