In: Statistics and Probability
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 density functionf(x).
(e) What is the name of the distributionin (d)?