In: Statistics and Probability
83. 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. X= ________________.
b. Is X continuous or discrete?
c. μ= ________
d. σ= ________
e. Draw a graph of the probability distribution. Label the axes.
f. Find the probability that a phone call lasts less than nine minutes.
g. Find the probability that a phone call lasts more than nine minutes.
h. Find the probability that a phone call lasts between seven and nine minutes.
i. If 25 phone calls are made one after another, on average, what would you expect the total to be? Why?