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Use software for the following problem.
1.
Suppose that a student needs to buy 6 books for her history course. The number of books that she
will be able to find used is a binomial random variable X with n = 6 and p = 0.30. In other words,
the probability that she will find any given book used is 0.30, and is independent from one book to
the next. What is the probability that she will find exactly 2 used books?
There are number of ways to deal with this problem:
a.
Use Minitab by the following command: click on Calc>Probability Distributions>Binomial
then input as the following
b.
Compute it by hand: Prob(X=2)=
4
2
7
.
0
3
.
0
)!
2
6
(
!
2
!
6
=0.3241, see page 293.
If the question asks for the probability less than and equal to 2 books, then you need to click on
Cumulative probability in the figure above (instead of Probability). If you want to compute it by
hand, then you need to use the formula to compute P(X=0), P(X=1), and P(X=2), then you add all
three terms.
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View Full Document2.
Use software to answer the following: You just found out that you have been kicked out of your
apartment (through no fault of your own!) and need to find a new place to live. Suppose monthly
rent for an individual is a normally distributed random variable with a mean of 334 dollars and a
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 Fall '08
 BARROSO,JOAOR
 Statistics, Binomial, Probability

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