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Chapter 5: Q.5.26 (page 348)
Use the following information to answer the next eight exercises. A distribution is given as .
What isa? What does it represent?
The value of the a is zeroand it is the lowest value of the.
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Use the following information to answer the next three exercises.
The Sky Train from the terminal to the rental鈥揷ar and long鈥搕erm 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
Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years. Find the average age of the cars in the lot.
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.
Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to eight minutes.
a. Define the random variable.
b. Is X continuous or discrete?
c.
d.
e.
f. Draw a graph of the probability distribution. Label the axes.
g. Find the probability that a phone call lasts less than nine minutes.
h. Find the probability that a phone call lasts more than nine minutes.
i. Find the probability that a phone call lasts between seven and nine minutes.
j. If 25 phone calls are made one after another, on average, what would you expect the total to be? Why?
Use the following information to answer the next eight exercises. A distribution is given as .
What is the theoretical standard deviation?
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