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PAM 2100 Lecture 1
Fall 2008
Problem Set #6
Posted: 28
th
of October, 2008
Due date: 4
th
of November, 2008
Round all final answers to four decimal places, if necessary.
#1) The weight of mediumsize tomatoes selected at random from a bin at the local
supermarket is a random variable with mean
μ
= 10 oz. and standard deviation
σ
= 1 oz.
a)
Suppose we pick four tomatoes from the bin at random and put them in a bag.
Define the random variable
Y
= the weight of the bag containing the four tomatoes.
What are the mean and the standard deviation of the random variable
Y
?
b) Let the random variable
W
= the weight of the bag containing the four tomatoes in
pounds (1 pound = 16 oz). What are the mean and the standard deviation of the
random variable
W
?
c)
Suppose we pick two tomatoes at random from the bin.
Let the random variable
V
= the difference in the weights of the two tomatoes selected (the weight of the first
tomato minus the weight of the second tomato).
What are the mean and the
standard deviation of the random variable
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 Fall '08
 ABDUS,S.

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