Question

In: Statistics and Probability

A baseball player has a lifetime batting average of 0.168. If, in a season, this player...

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 =

Answer is not .0015 or .0019.

Solutions

Expert Solution

This is a binomial distribution question with
n = 460
p = 0.168
q = 1 - p = 0.832
This binomial distribution can be approximated as Normal distribution since
np > 5 and nq > 5
Since we know that



The z-score at x = 100.5 is,

z = 2.8958
This implies that
Now using normal binomial distribution formula
This is a binomial distribution question with
n = 460
p = 0.168
q = 1 - p = 0.832
where


Using online calculator we calculated above probability

orchestra answered 1 year ago
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