Chapter 5, Problem 76H

For each probability and percentile problem, draw the picture.

76. According to a study by Dr. John McDougall of his live-in weight loss program, the people who follow his program lose between six and 15 pounds a month until they approach Dim body weight. Les 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. Define the random variable. X= _________

b. X~____

c. Graph the probability distribution.

d. f(x) = _______.

e. $\mu$ =_______ .

f. $\sigma$=_______

g. Find the probability that the Individual lost more than ten pounds In a month.

h. Suppose It Is known that the Individual lost more than ten pounds in a month. Find the probability that he lost Less than 12 pounds in the month.

i. P(7 < x < 13x >9) = _________ State this in a probability question, similarly to parts g and h, draw the picture, and find the probability.