A Baseball Player Has a Batting Average of 0

question 12

Multiple Choice

A baseball player has a batting average of 0.346, so the probability of a hit is 0.346. Assume that his hitting attempts are independent of each other. Assume that the batter gets up to bat 4
Times in each game. Estimate the probability that in 50 consecutive games, there are at least
45 games in which the batter gets at least one hit. (Hint: first find the probability that in one
Game the batter gets at least one hit)

• A)0.0918
• B)0.0446
• C)0.0643
• D)0.8171

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Definitions:

Standard Normal Probability Distribution

A normal distribution with a mean of zero and a standard deviation of one.

Probability Density Function

A function that describes the relative likelihood for a random variable to take on a given value.

Continuous Random Variable

A type of random variable that can take an infinite number of possible values, often representing measurements on a continuous scale.

Standard Normal Probability Distribution

A type of normal distribution with a mean of 0 and a standard deviation of 1, used in statistics to standardize scores.