I need help only with part C and D. I have already solved part A and B. An onlin

Question

I need help only with part C and D. I have already solved part A and B.

An online service WebTraffic.com claims that it can deliver 10,000 hits to a
Web site in the next 60 days for only $18.00. As the boss of a startup company,
you engaged the service to promote your business. Assume the time between
successive hits to your website are independent and exponentially distributed.

(a) What is the probability that the time between hits to your website is less
than 15 minutes?

(b) What is the probability that the time between hits to your website is less
than 60 minutes?

(c) If on the 5th day after engaging the service, you tried to monitor the hits
to your website. After one hit, it took you 62 minutes to observe another
hit. Can you claim that the service will not reach the target number of
hits, thus require a refund from WebTraffic.com?

(d) How can WebTraffic.com defend itself from your claim in (c)?

Explanation / Answer

(c) If on the 5th day after engaging the service, you tried to monitor the hits
to your website. After one hit, it took you 62 minutes to observe another
hit. Can you claim that the service will not reach the target number of
hits, thus require a refund from WebTraffic.com?

As per the single observation and using 62 min as the estimate for mean waiting time

In the next 60 days the site can have 60*24*60/62 = 1393.54 hits

Thus the claim cannot hold true.

(d) How can WebTraffic.com defend itself from your claim in (c)?

WebTraffic can defend by arguing that the estimate is done using only 1 observation which could be on the tails of the exponential distribution. In other words, you might have chosen a time when hits were not occuring. For a good estimate you should be observing more hits and then conclude.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.