STAT 400
Spring 2011
Homework #4
(10 points)
(due Thursday, February 17, by 4:30 p.m.)
No credit will be given without supporting work.
1.
Suppose that the probability that a duck hunter will successfully hit a duck is 0.40
on any given shot.
Suppose also that the outcome of each shot is independent
from the others.
a)
What is the probability that the first successful hit will be on the fourth shot?
b)
What is the probability that the third successful hit will be on the ninth shot?
c)
What is the probability that the hunter would have three successful hits in nine
shots?
d)
What is the probability that the hunter would have at least six successful hits in
nine shots?
2.
An advertising company has 7 men and 5 women.
Suppose the company has to select
a team of 4 members to work on the new hybrid car, Hyper Geo Metro 2011
(
☺
),
commercial.
a)
If the members of the team are selected at random, what is the probability that
2 men and 2 women will be selected?
b)
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 Spring '08
 Kim
 Poisson Distribution, Probability, Binomial distribution, Alex

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