5. (a) Suppose that the inter-arrival time at a bus station has an exponential distribution witha mean of 20 minutes. Determine the following:i. The probability that 3 buses will arrive in the next hour.ii. The probability that at least 4 buses will arrive in the next two hours.iii. The probability that no bus will arrive in the next three hours.iv. If no bus has arrived in the last two hours, what is the probability that at least onebus will arrive in the next 30 minutes?

Name: 5. (a) Suppose that the inter-arrival time at a bus station has an ex
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Description: 5. (a) Suppose that the inter-arrival time at a bus station has an exponential distribution witha mean of 20 minutes. Determine the following:i. The probability that 3 buses will arrive in the next hour.ii. The probability that at least 4 buses will

Given : The inter-arrival time at a bus station has an exponential distribution with a mean of 20…

Answered: bility that 3 buses will ar bility that…

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bility that 3 buses will ar bility that at least 4 buses bility that no bus will arri

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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5. (a) Suppose that the inter-arrival time at a bus station has an exponential distribution with
a mean of 20 minutes. Determine the following:
i. The probability that 3 buses will arrive in the next hour.
ii. The probability that at least 4 buses will arrive in the next two hours.
iii. The probability that no bus will arrive in the next three hours.
iv. If no bus has arrived in the last two hours, what is the probability that at least one
bus will arrive in the next 30 minutes?

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