Suppose that the downtime in seconds of the WiFi for the college is distributed according to the gamma distribution, with shape parameter 3 and scale parameter 4.

Solve the following:

a) What is the probability that the daily downtime is exceeded 1.5 standard deviations from its expected value?

b) What is the probability that the daily downtime is between 2 and 4 seconds?

c) What is the probability that X > 3?

d) If X ₁ ,X ₂ ,X ₃ ,X ₄ ,X ₅ are the downtimes of each of the 5 days of the workweek, and if daily downtimes are independent of one another then what is the probability that X ₁ ,X ₂ ,X ₃ ,X ₄ ,X ₅ are all greater than 4 seconds?

e) What is the probability that X < 2?

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If X denotes the downtime in seconds then X G 3 025 where is th... View the full answer