LetXbe a discrete random variable with the following PMF: P(X=x) = 0.3 for x = 1,...

LetXbe a discrete random variable with the following PMF:

P(X=x) =

0.3 for x = 1,

a for x = 2,

0.5 for x= 3,

0 otherwise

(a) Find the value of a.

(b) Find Fx(x), the CDF of X.

(d) Find E[X].

(e) FindE[X^2].

(f) Find V ar(X)

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A certain area of the eastern United States is, on average,hit by 2 hurricanes a year. Find the probability that the area will be hit byexactly 3 hurricanes in a given year.

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orchestra answered 1 year ago

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