Question
According to a study by Dr. John McDougall of his live-in weight loss program at St....
According to a study by Dr. John McDougall of his live-in weight
loss program at St. Helena Hospital, the people who follow his
program lose between six and 15 pounds a month until they approach
trim body weight. Let's suppose that the weight loss is uniformly
distributed. We are interested in the weight loss of a randomly
selected individual following the program for one month.
a. Find the probability that the individual lost more than 12
pounds in a month. (Enter an exact number as an integer, fraction,
or decimal.)
b. Suppose it is known that the individual lost more than 8 pounds in a month. Find the probability that he lost less than 12 pounds in the month. (Enter an exact number as an integer, fraction, or decimal.)
Homework Answers
Answer #1
Let X is a random variable shows the individual lost pounds in a month. Here X has Uniform distribution between 6 and 15 so pdf of X is
(a)
The probability that the individual lost more than 12 pounds in a month is
(b)
And
So the probability that he lost less than 12 pounds in the month given that the individual lost more than 8 pounds in a month is
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