Chapter 5: Q. 12 (page 346)
Find the probability that falls in the shaded area.

Short Answer
The probability that falls in the shaded area is
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Chapter 5: Q. 12 (page 346)
Find the probability that falls in the shaded area.

The probability that falls in the shaded area is
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The number of miles driven by a truck driver falls between , and follows a uniform distribution.
a. Find the probability that the truck driver goes more than miles in a day.
b. Find the probability that the truck drivers goes between miles in a day.
c. At least how many miles does the truck driver travel on the furthest of days?
Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution:
What type of distribution is this?
On average, a pair of running shoes can last 18 months if used every day. The length of time running shoes last is exponentially distributed. What is the probability that a pair of running shoes last more than 15 months? On average, how long would six pairs of running shoes last if they are used one after the other? Eighty percent of running shoes last at most how long if used every day?
The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as .
What is the percentile of square footage for homes?
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 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. Define the random variable. X = _________ b. X ~ _________ c. Graph the probability distribution. d. f(x) = _________ e. μ = _________ f. σ = _________ 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 < 13|x > 9) = __________. State this in a probability question, similarly to parts g and h, draw the picture, and find the probability.
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