Question 4 8 pts A company that produces DVD drives has a 9% defective rate. Let X represent the number of defectives in a random sample of 51 of their drives. a. What is the probability the sample will contain exactly 8 defective drives? Give your answer to four decimal places. b. What is the probability the sample will contain more than 8 defective drives? Give your answer to four decimal places. c. What is the probability the sample will contain less than 8 defective drives? Give your answer to four decimal places. d. What is the expected number of defective drives in the sample? Give your answer to two decimal places. e. What is the variance of the number of defective drives in the sample? Give your answer to four decimal places. f. What is the standard deviation of the number of defective drives in the sample? Give your answer to four decimal places. g. Each defective drive costs the company 13 dollars. What is the expected cost to the company for the defective drives in the sample? Give your answer to two decimal places. h. Each defective drive costs the company 13 dollars. What is the standard deviation of the cost to the company for the defective drives in the sample? Give your answer to four decimal places

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Question 4
8 pts
A company that produces DVD drives has a 9% defective rate. Let X represent the number of
defectives in a random sample of 51 of their drives.
a. What is the probability the sample will contain exactly 8 defective drives? Give your answer
to four decimal places.
b. What is the probability the sample will contain more than 8 defective drives? Give your
answer to four decimal places.
c. What is the probability the sample will contain less than 8 defective drives? Give your
answer to four decimal places.
d. What is the expected number of defective drives in the sample? Give your answer to two
decimal places.
e. What is the variance of the number of defective drives in the sample? Give your answer to
four decimal places.
f. What is the standard deviation of the number of defective drives in the sample? Give your
answer to four decimal places.
g. Each defective drive costs the company 13 dollars. What is the expected cost to the
company for the defective drives in the sample? Give your answer to two decimal places.
h. Each defective drive costs the company 13 dollars. What is the standard deviation of the
cost to the company for the defective drives in the sample? Give your answer to four decimal
places
Transcribed Image Text:Question 4 8 pts A company that produces DVD drives has a 9% defective rate. Let X represent the number of defectives in a random sample of 51 of their drives. a. What is the probability the sample will contain exactly 8 defective drives? Give your answer to four decimal places. b. What is the probability the sample will contain more than 8 defective drives? Give your answer to four decimal places. c. What is the probability the sample will contain less than 8 defective drives? Give your answer to four decimal places. d. What is the expected number of defective drives in the sample? Give your answer to two decimal places. e. What is the variance of the number of defective drives in the sample? Give your answer to four decimal places. f. What is the standard deviation of the number of defective drives in the sample? Give your answer to four decimal places. g. Each defective drive costs the company 13 dollars. What is the expected cost to the company for the defective drives in the sample? Give your answer to two decimal places. h. Each defective drive costs the company 13 dollars. What is the standard deviation of the cost to the company for the defective drives in the sample? Give your answer to four decimal places
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