If X is a continuous random variable, what is the value of X that will be exceeded 20% of the time, if a. X is uniformly distributed with a mean of 6 and a variance of 12? b. X has a gamma distribution with a mean of 2 and a variance of 2? (just set up the equation in its simplest form) c. X is exponentially distributed with a variance of 1? d. X has a chi-squared distribution with mean of 10?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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If X is a continuous random variable, what is the value of X that will be exceeded 20% of the time, if a. X is uniformly distributed with a mean of 6 and a variance of 12? b. X has a gamma distribution with a mean of 2 and a variance of 2? (just set up the equation in its simplest form) c. X is exponentially distributed with a variance of 1? d. X has a chi-squared distribution with mean of 10?
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