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 min2.(a) What are the values of α and β?α = β = (b) What is the probability that a student uses the terminal for at most 21 min? (Round your answer to three decimal places.)(c) What is the probability that a student spends between 12 and 27 min using the terminal? (Round your answer to three decimal places.)

a) Given data Mean = 12 Variance = 36 Mean of gamma Distribution is given by E(X) = αβ = 12 Variance…

Answered: Suppose the time spent by a randomly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 min².

(a) What are the values of α and β?

α =
β =

(b) What is the probability that a student uses the terminal for at most 21 min? (Round your answer to three decimal places.)

(c) What is the probability that a student spends between 12 and 27 min using the terminal? (Round your answer to three decimal places.)

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