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The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7.6% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (a) Explain why this is a binomial experiment. trails are independent. (b) Assuming his suspicion that 7.6% of his customers buy a magazine is correct, what is the probability that exactly 2 out of the first 11 customers buy a magazine? Give your answer as a decimal number rounded to two digits. (c) What is the expected number of customers from this sample that will buy a magazine?

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7.6% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. (a) Explain why this is a binomial experiment. trails are independent. (b) Assuming his suspicion that 7.6% of his customers buy a magazine is correct, what is the probability that exactly 2 out of the first 11 customers buy a magazine? Give your answer as a decimal number rounded to two digits. (c) What is the expected number of customers from this sample that will buy a magazine?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Understanding Binomial Experiments: An Example The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7.6% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. #### (a) Explain why this is a binomial experiment. **Answer:** Trials are independent. #### (b) Assuming his suspicion that 7.6% of his customers buy a magazine is correct, what is the probability that exactly 2 out of the first 11 customers buy a magazine? Give your answer as a decimal number rounded to two digits. **Answer:** #### (c) What is the expected number of customers from this sample that will buy a magazine? **Answer:** This example helps to illustrate the following key concepts in binomial experiments: 1. **Independent Trials:** Each customer's decision to buy or not buy a magazine is independent of the others. 2. **Fixed Number of Trials:** The experiment is conducted over a fixed number of trials – in this case, 11 customers. 3. **Two Possible Outcomes:** Each trial (customer interaction) results in one of two outcomes: buying a magazine or not. 4. **Constant Probability:** The probability of success (buying a magazine) remains the same for each trial, 7.6%. These principles are crucial for understanding and solving problems involving binomial experiments.
Transcribed Image Text:### Understanding Binomial Experiments: An Example The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7.6% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. #### (a) Explain why this is a binomial experiment. **Answer:** Trials are independent. #### (b) Assuming his suspicion that 7.6% of his customers buy a magazine is correct, what is the probability that exactly 2 out of the first 11 customers buy a magazine? Give your answer as a decimal number rounded to two digits. **Answer:** #### (c) What is the expected number of customers from this sample that will buy a magazine? **Answer:** This example helps to illustrate the following key concepts in binomial experiments: 1. **Independent Trials:** Each customer's decision to buy or not buy a magazine is independent of the others. 2. **Fixed Number of Trials:** The experiment is conducted over a fixed number of trials – in this case, 11 customers. 3. **Two Possible Outcomes:** Each trial (customer interaction) results in one of two outcomes: buying a magazine or not. 4. **Constant Probability:** The probability of success (buying a magazine) remains the same for each trial, 7.6%. These principles are crucial for understanding and solving problems involving binomial experiments.
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