MATH 1131 3.0  Fall 2011
Assignment 2
(Due Date: Oct 19, 2011)
(hand in all questions)
Question 1:
Suppose that in a weekly lottery you have probability .02 of winning a prize
with a single ticket and that you buy 1 ticket per week for 52 weeks.
a. What is the probability that you win no prizes?
b. What is the probability that you win 3 or more prizes?
c. What is the mean and standard deviation of the number of prizes you win?
Question 2:
An appliance dealer sells three diﬀerent models for upright freezers have
13.5, 15.9, and 19.1 cubic feet of storage space, respectively. Let
X
= the amount of storage
space purchased by the next customer to buy a freezer. Suppose that
X
has the following
probability distribution:
X
13.5 15.9 19.1
P
(
X
=
x
)
.2
.5
.3
a. Find the mean and standard deviation of X.
b. If the price of the freezer depends on the size of the storage space, X, such that Price
= 25
X

8
.
5, what is the mean and standard deviation of the variable Price paid by
the next customer?
Question 3:
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 Fall '10
 Wong
 Statistics, Normal Distribution, Probability, Standard Deviation, randomly chosen student, zscore

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