Question 450570
For Adam the probability a bull's eye with a bow and arrow is .4. 
Adam will take 5 shots. 
a) What type of probability distribution is this?::Binomial
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b) Complete the chart to show the probability distribution for the random variable X which represents the number of possible bull's eyes its associated probability. 
X = # Bull's Eyes P(X) 

c) What is the probability that Adam will get at least 2 bull's eyes?
Ans: 1-binomcdf(5,0.4,1) = 0.6630
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d) How many bull's eyes do you expect him to make?
Ans: E(x) = np = 5*0.4 = 2
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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?
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Comment: That is not a binomial problem as the probability
of selecting a spoiled head changes after each selection.
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b) What is the probability that he did not choose any of the spoiled heads? 
P(no spoiled in choosing 12) 
= P(choose 12 good heads) 
= 52C12/60C12 
= 0.1475
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Cheers,
Stan H.
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