6. 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 10 minutes and variance 20 (minutes)2. You can use the Gamma table on Blackboard to help with this question. (a) What are the values for the parameters a and B? (b) What is the probability that a student uses the terminal for at most 18 minutes? (c) What is the probability that a student spends between 6 and 16 minutes using the terminal?

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Please solve 6 a, b and c

6. 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 10 minutes and variance
20 (minutes)². You can use the Gamma table on Blackboard to help with this question.
(a)
What are the values for the parameters a and 3?
(b)
What is the probability that a student uses the terminal for at most 18 minutes?
(c)
What is the probability that a student spends between 6 and 16 minutes using
the terminal?
Transcribed Image Text:6. 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 10 minutes and variance 20 (minutes)². You can use the Gamma table on Blackboard to help with this question. (a) What are the values for the parameters a and 3? (b) What is the probability that a student uses the terminal for at most 18 minutes? (c) What is the probability that a student spends between 6 and 16 minutes using the terminal?
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