A company that produces DVD drives has a 6% defective rate. Let X represent the number of defectives in a random sample of 57 of their drives. Required:
a. What is the probability the sample will containexactly 2 defective drives? Give your answer to four decimalplaces.
b. What is the probability the sample will containmore than 2 defective drives? Give your answer to four decimalplaces.
c. What is the probability the sample will containless than 2 defective drives? Give your answer to four decimalplaces.
d. What is the expected number of defective drivesin the sample? Give your answer to two decimal places.
e. What is the variance of the number of defectivedrives in the sample? Give your answer to four decimalplaces.
f. What is the standard deviation of the number ofdefective drives in the sample? Give your answer to four decimalplaces.
g. Each defective drive costs the company 15dollars. What is the expected cost to the company for the defectivedrives in the sample? Give your answer to two decimalplaces.
h. Each defective drive costs the company 15dollars. What is the standard deviation of the cost to the companyfor the defective drives in the sample? Give your answer to fourdecimal places.