Suppose a batter had 228 hits in a season. probability distribution?

Question

x 0 1 2 3 4 5

P(x) 0.1538 .4332 .2825 .0843 .0296 .0166

what is Ux(mhew)= ?

And what is the interpretation of the mean?

Answer 1

for any discrete random variable the expectation is:

E(X) = μ = ∑x * P(X = x)

E(X) = 0 * 0.1538 + 1 * 0.4332 + 2 * 0.2825 + 3 * 0.0843 + 4 * 0.0296 + 5 * 0.0166

E(X) = 1.4525

this looks the average number of hits per game.