# A .300 hitter In baseball, a 0.300 hitter gets a hit in 30% of times at bat. When a

Chapter 6, Problem 94

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QUESTION:

A .300 hitter In baseball, a 0.300 hitter gets a hit in 30% of times at bat. When a baseball player hits 0.300, fans tend to be impressed. Typical Major Leaguers bat about 500 times a season and hit about 0.260. A hitters successive tries seem to be independent. Could a typical Major Leaguer hit 0.300 just by chance? Compute an appropriate probability to support your answer

QUESTION:

A .300 hitter In baseball, a 0.300 hitter gets a hit in 30% of times at bat. When a baseball player hits 0.300, fans tend to be impressed. Typical Major Leaguers bat about 500 times a season and hit about 0.260. A hitters successive tries seem to be independent. Could a typical Major Leaguer hit 0.300 just by chance? Compute an appropriate probability to support your answer

Problem 94

A .300 hitter In baseball, a 0.300 hitter gets a hit in 30% of times at bat. When a baseball player hits 0.300, fans tend to be impressed. Typical Major Leaguers bat about 500 times a season and hit about 0.260. A hitters successive tries seem to be independent. Could a typical Major Leaguer hit 0.300 just by chance? Compute an appropriate probability to support your answer

Step by Step Solution

Step 1 of 2

Given,

n = 500

p = 0.260

The mean of the binomial distribution,

Standard deviation,

Therefore,  Major Leaguers bat with an average of 130 hits and 9.8 hits standard deviation.

Then, 30% hits out of 500 times at bat is,