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 20 min and variance 80 min2 .
a. What are the values of α and β?
b. What is the probability that a student uses the terminal for at most 24 min?
c. What is the probability that a student spends between 20 and 40 min using the terminal?
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