Question
1. [8pt] Assume that the weight loss for the first month of a diet program varies...
1. [8pt] Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution.
a. Find the probability that the given range of pounds lost is greater than 10 pounds.
b. Find the probability that the given range of pounds lost is less than 8 pounds.
c. Find the probability that the given range of pounds lost is between 8 pounds and 11 pounds.
d. Find w so that P(xw), that is, w divides the area into two equal parts.
Homework Answers
Answer #1
Let 
be the random variable denoting weight lost in the first month of
the diet program. Then we are given that,
. The density function of
is then equal to 
where 
is the indicator function of a set 
. So,
a)
b)
c)
d)
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