Round your answers to 4 decimal digits. Thirteen electronic components from a manufacturing process are tested every day. Components for testing are chosen randomly and independently. It was found over a long period of time that 51.33% of such samples have no defectives. a) What is the probability of a sample containing exactly two defective components? b) What is the probability of finding three or more defective components in a sample? c) The assembly line has a weekly bonus system as follows: Each man receives a bonus of $500 if none of the five daily samples that week contained a defective. The bonus is $250 if only one sample out of the five contained a defective, and none of the others contained any. What is the expected bonus per man per week?
Round your answers to 4 decimal digits.
Thirteen electronic components from a manufacturing process are tested
every day. Components for testing are chosen randomly and independently.
It was found over a long period of time that 51.33% of such samples have no
defectives.
a) What is the probability of a sample containing exactly two defective
components?
b) What is the probability of finding three or more defective components in a
sample?
c) The assembly line has a weekly bonus system as follows: Each man
receives a bonus of $500 if none of the five daily samples that week
contained a defective. The bonus is $250 if only one sample out of the five
contained a defective, and none of the others contained any. What is the
expected bonus per man per week?
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