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) What is the probability that there are exactly 2 defective phone batteries in the sample? ) What is the probability that all phone batteries in the sample are in good condition? )"SmartB" needs to pay a large amount of penalty if there are at least 4 defective phone batteries found in the sample. What is the chance that "SmartB" has to pay this penalty?

) What is the probability that there are exactly 2 defective phone batteries in the sample? ) What is the probability that all phone batteries in the sample are in good condition? )"SmartB" needs to pay a large amount of penalty if there are at least 4 defective phone batteries found in the sample. What is the chance that "SmartB" has to pay this penalty?

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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'SmartB" owns a phone battery assembly line which provide phone battery to a mobile company. It is known hat 4% of the batteries produced by "SmartB" are defective. A random sample of 28 phone batteries is selected from the assembly line and will be sent for inspection. a) What is the probability that there are exactly 2 defective phone batteries in the sample? b) What is the probability that all phone batteries in the sample are in good condition? c) "SmartB" needs to pay a large amount of penalty if there are at least 4 defective phone batteries found in the sample. What is the chance that "SmartB" has to pay this penalty? d) The production cost of a phone battery is $100 and the selling price to the mobile company is $500. When the phone battery is found defective within a year, it could be sent back for repairment, which costs "SmartB" $70. Suppose all defective phone battery would be reported by the customer within a year and would be sent back for repairment. Present the probability distribution function of the profit gained by "SmartB" from a phone battery. (Remark: Profit = revenue – cost)
Transcribed Image Text:'SmartB" owns a phone battery assembly line which provide phone battery to a mobile company. It is known hat 4% of the batteries produced by "SmartB" are defective. A random sample of 28 phone batteries is selected from the assembly line and will be sent for inspection. a) What is the probability that there are exactly 2 defective phone batteries in the sample? b) What is the probability that all phone batteries in the sample are in good condition? c) "SmartB" needs to pay a large amount of penalty if there are at least 4 defective phone batteries found in the sample. What is the chance that "SmartB" has to pay this penalty? d) The production cost of a phone battery is $100 and the selling price to the mobile company is $500. When the phone battery is found defective within a year, it could be sent back for repairment, which costs "SmartB" $70. Suppose all defective phone battery would be reported by the customer within a year and would be sent back for repairment. Present the probability distribution function of the profit gained by "SmartB" from a phone battery. (Remark: Profit = revenue – cost)
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