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If a random variable Xhas the gamma distributionwith α= 2and β = 1, (a) What is the...

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Statistics

If a random variable Xhas the gamma distributionwith α= 2and β =1,

(a) What is the probability density functionf(x)?

(b) find P(1.8 < X< 2.4).

(c) What isE(X) and Var(X)?

(d) Put α= 1and β = 2.What isthe probability densityfunctionf(x).

(e) What is the name of the distributionin (d)?

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