Suppose the time spent by a randomly selected student who uses a terminal connec

Question

Suppose the time spent by a randomly selected student who uses a terminal connected to a local time-sharing computer facility has a gamma distribution with mean 12 min and variance 36 min (a) What are the values of alpha and beta? alpha = beta = (b) What is the probability that a student uses the terminal for at most 21 min? () (c) What is the probability that a student spends between 12 and 24 min using the terminal? () You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

Solution:

a)Mean equals = 12
Variance equals ² = 36

Thus 12 = 36 or = 3
Thus = 4

Using the calculator with x = 21,
the probability that a student uses the terminal for at most 21 min is .918

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