Chapter 5: Q.5.31 (page 348)
Use the following information to answer the next eight exercises. A distribution is given as .
Draw the graph of the distribution for .
Short Answer
the graph for required probability that isis,

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Chapter 5: Q.5.31 (page 348)
Use the following information to answer the next eight exercises. A distribution is given as .
Draw the graph of the distribution for .
the graph for required probability that isis,

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The amount of time a service technician needs to change the oil in a car is uniformly distributed between 11 and 21 minutes. Let X = the time needed to change the oil on a car.
a. Write the random variable X in words. X = __________________.
b. Write the distribution.
c. Graph the distribution.
d. Find P (x > 19).
e. Find the 50th percentile.
Use the following information to answer the next three exercises.
The Sky Train from the terminal to the rental–car and long–term parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.
80. Find the percentile for the waiting times (in minutes).
a. two
b.
c.
d. three
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 .
Find the probability that a randomly selected home has more than square feet given that you already know the house has more than square feet.
At a call center, calls come in at an average rate of one call every two minutes. Assume that the time that elapses from one call to the next has the exponential distribution.
a. On average, how much time occurs between five consecutive calls?
b. Find the probability that after a call is received, it takes more than three minutes for the next call to occur.
c. Ninety-percent of all calls occur within how many minutes of the previous call?
d. Suppose that two minutes have elapsed since the last call. Find the probability that the next call will occur within the next minute.
e. Find the probability that less than calls occur within an hour.
A distribution is given as . What is ? Find thepercentile.
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