The following exercise is best solved with a computer Hits on a personal website occur quite infrequently. They occur randomly and independently with an average of five per week.

Required:
a. Find the probability that the site gets 10 or more hits in a week.
b. Determine the probability that the site gets 20 or more hits in 2 weeks.

(a) The probability that the site gets 10 or more hits in a week is 0.0137.

(b) The probability that the site gets 20 or more hits in 2 weeks is 0.0016.

Step-by-step explanation:

Let X represent the number of hits on a personal website in a week.

It is provided that the hits occur randomly and independently with an average of five per week.

So, X follows a Poisson distribution with parameter λ = 5.

(a)

Compute the probability that the site gets 10 or more hits in a week as follows:

Use Excel.

Thus, the probability that the site gets 10 or more hits in a week is 0.0137.

(b)

Compute the probability that the site gets 20 or more hits in 2 weeks as follows:

In one week the average number of hits was 5.

Then in two weeks the average number of hits will be 10.

Thus, the probability that the site gets 20 or more hits in 2 weeks is 0.0016.

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step-by-step explanation: