Question: 1. 6 points Let X have a gamma distribution with parameters a = 2 and 0. (a) 2 points Find the mode of X.

1. 6 points Let X have a gamma distribution with parameters a

1. 6 points Let X have a gamma distribution with parameters a = 2 and 0. (a) 2 points Find the mode of X. Recall that the mode of a continuous random variable is the value where the pdf is the highest. (b) 1 point If the mode is two, find P(X < 9.488). Tables are allowed for this problem only if sufficient justification is provided. (c) 3 points Find the fifth moment of X without the use of the moment gen- erating function. Simplify completely.

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