Question

# The time between telephone calls to a cable televisiom service call center follows an exponential distribution...

The time between telephone calls to a cable televisiom service call center follows an exponential distribution with a mean of 1.5 minutes.
a. What is the probability that the time between the next two calls will be 48 seconds or less?
b. What is the probability that the between the next two calls will be greater than 118.5 seconds?

Solution:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.5 minutes or 90 seconds

Therefore, we have:

a. What is the probability that the time between the next two calls will be 48 seconds or less?

We know that:

Therefore, the probability that the time between the next two calls will be 48 seconds or less is 0.4134

b. What is the probability that between the next two calls time will be greater than 118.5 seconds?

Answer: We have to find here

We know that:

Therefore, the probability that between the next two calls time will be greater than 118.5 seconds is 0.2680

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