SOLUTION: A box contains 5 dozen heads of lettuce. There are eight spoiled heads in the box. A person chooses a dozen heads at random. a) What is the expected number of spoiled heads that w

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Question 602061: A box contains 5 dozen heads of lettuce. There are eight spoiled heads in the box. A person chooses a dozen heads at random.
a) What is the expected number of spoiled heads that will be chosen?
b) What is the probability that he did not choose any of the spoiled heads?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

expected number of spoiled heads = np = 12*(8/60) = 96/60 = 8/5 = 1.6
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b)

P(No spoiled heads) = (1-p)^x = (1-8/60)^12 = 0.17956