Question

A baseball player has a lifetime batting average of 0.168. If, in a season, this player has 460 "at bats", what is the probability he gets 101 or more hits?

Probability of 101 or more hits =

Note: Please show work, it would be really helpful and I would really appreciate it.

Answer #1

Here we use large sample approximation of Binomial to Normal distribution since n is large =460, and p is very small =0.168 and np>10 and n(1-p)>10.

Hence use CLT.

If you want accurate answer then

The first one is the approximate probability and second one is the exact probability.

A baseball player has a lifetime batting average of 0.168. If,
in a season, this player has 460 "at bats", what is the probability
he gets 101 or more hits?
Probability of 101 or more hits = ?

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HW 18 #2
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