Applications | RapidIdentity * \\ Quizzes 2 * *Dashboard X + X C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2Flti%2Flaunch%3Fmodule_session%... [ * [ @ G Return Submit Lesson 13 Homework Overview This is the homework assignment for Lesson 13. It should be completed after you read the lesson notes and view any applicable videos. 34 Objectives 2 14. Use the binomial, normal, and t distributions to calculate probabilities.. 39. Calculate descriptive and inferential statistics using an appropriate statistical software package. 4 Instructions This homework set requires the use of the StatCrunch binomial calculator. Be sure to follow all rounding instructions exactly. 5 Questions? If you have questions about this homework assignment, please post them in the Week 5 Discussion Forum. 1 0.5 points A Gallup poll of 1,236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Suppose 30 people are selected at random from among the 1,236 were polled, and further suppose we want to calculate the probability that at least 2 of the 30 believe it is bad luck to walk under a ladder. Given that the 30 subjects were selected without replacement, those selections are not independent. Can the probability be found using the binomial distribution? Why or why not? O No. The selections are not independent. Yes. Although the selections are not independent, they can be treated as if they were independent by applying the 5% Rule. Yes. There are a fixed number of 30 selections that are independent and can be classified into two categories, and the probability of "success" does not change with each selection. No. The selections are not independent and the 5% Rule is not satisfied. 2 1 point Suppose a certain experiment yields a binomial distribution with n = 64 trials and a probability of success of p = 0.409. What is the probability of observing at most 27 successes out of the 64 trials? (Round your answer to three decimal places; add trailing zeros as needed). O E 4:00 PM Type here to search 85OF Sunny 9/20/2022Applications | RapidIdentity x Quizzes 2 * *Dashboard X + X C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2Flti%2Flaunch%3Fmodule_session%... [ * [ @ G Return Submit No. The selections are not independent. OO Yes. Although the selections are not independent, they can be treated as if they were independent by applying the 5% Rule. Yes. There are a fixed number of 30 selections that are independent and can be classified into two categories, and the probability of "success" does not change with each selection. No. The selections are not independent and the 5% Rule is not satisfied. 2 1 point 1 Suppose a certain experiment yields a binomial distribution with n = 64 trials and a probability of success of p = 0.409. What is the probability of observing at most 27 successes out of the 64 trials? (Round your answer to three decimal places; add trailing zeros as needed). 2 The probability of observing at most 27 successes out of 64 trials is |type your answer. 4 5 3 1 point A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan for each shipment is to randomly select and test 58 tablets, then accept the entire shipment if there are one or fewer tablets that don't meet the required specifications. If one shipment of 6,000 aspirin tablets actually has a 4% rate of defects (that is, 4% of the pills will fail the acceptance test), what is the probability that the entire shipment will be accepted? (Round your answer to three decimal places; add trailing zeros as needed.) The probability that the entire shipment will be accepted is | type your answer.. 4 1.5 points According to a recent poll, 39% of U.S. voters approve of the President's job performance. Suppose that 50 U.S. voters are selected at random for a follow-up survey. Of those 50, what are the mean, variance, and standard deviation of the number of voters who approve of the President's job performance? (Round your answers to one decimal place; add a trailing zero as needed.) The mean number of voters who approve of the President's job performance is | type your answer.. The variance of the number of voters who approve of the President's job performance is type your answer.. The standard deviation of the number of voters who approve of the President's job performance is type your answer. Type here to search O 4:01 PM 85OF Sunny 9/20/2022Applications | RapidIdentity * \\ Quizzes 2 * *Dashboard X + X C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2FIti%2Flaunch%3Fmodule_session%... [ * [ @ G Return Submit 3 1 point A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan for each shipment is to randomly select and test 58 tablets, then accept the entire shipment if there are one or fewer tablets that don't meet the required specifications. If one shipment of 6,000 aspirin tablets actually has a 4% rate of defects (that is, 4% of the pills will fail the acceptance test), what is the probability that the entire shipment will be accepted? (Round your answer to three decimal places; add trailing zeros as needed.) The probability that the entire shipment will be accepted is | type your answer.. 898 34 4 1.5 points 2 According to a recent poll, 39% of U.S. voters approve of the President's job performance. Suppose that 50 U.S. voters are selected at random for a follow-up survey. Of those 50, what are the mean, variance, and standard deviation of the number of voters who approve of the President's job performance? (Round your answers to one decimal place; add a trailing zero as needed.) 4 The mean number of voters who approve of the President's job performance is type your answer... A 5 The variance of the number of voters who approve of the President's job performance is |type your answer.. The standard deviation of the number of voters who approve of the President's job performance is | type your answer. 5 1 point Based on the results of the previous problem, what numbers of voters who approve of the President's job performance would be a significantly low? What numbers would be significantly high? Use the probability method. (Enter your answers as integers.) According to the Probability Method, out of the 50 voters surveyed, |type your answer... or fewer voters who approve would be significantly low and type your answer... or more would be significantly high. Submit Type here to search 4:01 PM 85*F Sunny ~ 9 0 ( 4) 9/20/2022