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- To increase morale among employees, a company began a program in which one employee is randomly selected each week to receive a gift card. Each of the company's 200 employees is equally likely to be selected each week, and the same employee could be selected more than once. Each week's selection is independent from every other week. (a) Consider the probability that a particular employee receives at least one gift card in a 52-week year. (i) Define the random variable of interest and state how the random variable is distributed. (ii) Determine the probability that a particular employee receives at least one gift card in a 52-week year. Show your work.

- To increase morale among employees, a company began a program in which one employee is randomly selected each week to receive a gift card. Each of the company's 200 employees is equally likely to be selected each week, and the same employee could be selected more than once. Each week's selection is independent from every other week. (a) Consider the probability that a particular employee receives at least one gift card in a 52-week year. (i) Define the random variable of interest and state how the random variable is distributed. (ii) Determine the probability that a particular employee receives at least one gift card in a 52-week year. Show your work.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
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AP Statistics 2021 Free-Response Questions Begin your response to QUESTION 3 on this page. 3. To increase morale among employees, a company began a program in which one employee is randomly selected each week to receive a gift card. Each of the company's 200 employees is equally likely to be selected each week, and the same employee could be selected more than once. Each week's selection is independent from every other week. (a) Consider the probability that a particular employee receives at least one gift card in a 52-week year. (i) Define the random variable of interest and state how the random variable is distributed. (ii) Determine the probability that a particular employee receives at least one gift card in a 52-week year. Show your work.
Transcribed Image Text:AP Statistics 2021 Free-Response Questions Begin your response to QUESTION 3 on this page. 3. To increase morale among employees, a company began a program in which one employee is randomly selected each week to receive a gift card. Each of the company's 200 employees is equally likely to be selected each week, and the same employee could be selected more than once. Each week's selection is independent from every other week. (a) Consider the probability that a particular employee receives at least one gift card in a 52-week year. (i) Define the random variable of interest and state how the random variable is distributed. (ii) Determine the probability that a particular employee receives at least one gift card in a 52-week year. Show your work.
AP® Statistics 2021 Free-Response Questions Continue your response to QUESTION 3 on this page. (b) Calculate and interpret the expected value for the number of gift cards a particular employee will receive in a 52-week year. Show your work. (c) Suppose that Agatha, an employee at the company, never receives a gift card for an entire 52-week year. Based on her experience, does Agatha have a strong argument that the selection process was not truly random? Explain your answer.
Transcribed Image Text:AP® Statistics 2021 Free-Response Questions Continue your response to QUESTION 3 on this page. (b) Calculate and interpret the expected value for the number of gift cards a particular employee will receive in a 52-week year. Show your work. (c) Suppose that Agatha, an employee at the company, never receives a gift card for an entire 52-week year. Based on her experience, does Agatha have a strong argument that the selection process was not truly random? Explain your answer.
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