Question

Suppose thatA∼N(μ= 3,σ= 5),B∼N(μ= 2,σ= 4), andC∼Exp(λ= 1/6) areindependent RVs. Find the distribution (shape, center, spread) of the following RV expressions and state whether the distribution is exactly or approximately equal to your claim.

1.D=A+B

2.E= 3A−2B

3.F=A1+A2+···+A14, whereA1,...,A14are independent values fromA.

4.G=C1+C2+···+C47, whereC1,...,C47are independent values fromC.

Answer 1