Question

A baseball player has a lifetime batting average of 0.298. If, in a season, this player has 500 "at bats", what is the probability he gets 136 or more hits?

Answer 1

To find the probability of the baseball player getting 136 or more hits in a season, calculate the z-score and use a standard normal distribution table or a z-table to find the probability.

Step-by-step explanation:

To find the probability of the baseball player getting 136 or more hits in a season, we need to use the distribution of batting average. Given that the player has a lifetime batting average of 0.298, we can assume that his batting average follows a normal distribution with a mean of 0.298.

To find the probability, we need to calculate the z-score for 136 hits using the following formula: z = (x - μ) / σ, where x is the number of hits, μ is the mean batting average, and σ is the standard deviation.

Then, we can use a standard normal distribution table or a z-table to find the probability corresponding to the z-score.