uppose that 77% of people like a company's new product.  Suppose a sample of 12 people is chosen.  Assuming that each person's opinion about the new product is independent of the others, answer the following questions.   a. What is the probability that at least 5 of the 12 people like the new product?  Enter your answer in decimal form rounded to four decimal places if rounding is necessary.  b. What is the probability that exactly 3 of the 12 people do NOT like the new product.  Enter your answer in decimal form rounded to four decimal places if rounding is necessary.  c. What is the probability that at most 4 of the 12 people like the new product?  Enter your answer in decimal form rounded to four decimal places if rounding is necessary.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that 77% of people like a company's new product.  Suppose a sample of 12 people is chosen.  Assuming that each person's opinion about the new product is independent of the others, answer the following questions.  

a. What is the probability that at least 5 of the 12 people like the new product?  Enter your answer in decimal form rounded to four decimal places if rounding is necessary. 


b. What is the probability that exactly 3 of the 12 people do NOT like the new product.  Enter your answer in decimal form rounded to four decimal places if rounding is necessary. 


c. What is the probability that at most 4 of the 12 people like the new product?  Enter your answer in decimal form rounded to four decimal places if rounding is necessary. 


d. In the sample of 12 people, what is the standard deviation of the number of people who like the new product?  Enter your answer in decimal form rounded to four decimal places if rounding is necessary. 

e. In the sample of 12 people, how many are expected to like the new product?  Enter your answer in decimal form rounded to four decimal places if rounding is necessary. 

 

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