20. Helpline Calls The length of time of calls made to a support helpline follows an exponential...

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20. Helpline Calls The length of time of calls made to a support helpline follows an exponential distribution with an average duration of 40 minutes so that l51/405.025.

a. What is the probability that a call to the helpline lasts less than 5 minutes?

b. What is the probability that a call to the helpline lasts more than 50 minutes?

c. What is the probability that a call lasts between 20 and 30 minutes?

d. Tchebysheff’s Theorem says that the interval 4062(40) should contain at least 75% of the population.

What is the actual probability that the call times lie in this interval?

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