Question

The distrabiutuion of pitches thrown in alll the at bats in a baseball game is as follows find the probalilty a pitcher will throw exactly 1 pitch in a at bat p(1)=

Answer 1

The probability (p) that a pitcher will throw exactly 1 pitch in an at-bat is determined by the distribution of pitches in a baseball game.

Step-by-step explanation:

In order to find the probability (p) that a pitcher will throw exactly 1 pitch in an at-bat, we need to consider the distribution of pitches thrown in a baseball game. Let's denote the probability of throwing exactly 1 pitch as P(1).

The probability distribution function (PDF) for the number of pitches thrown in an at-bat is given by the specific distribution of pitches in the game. Let's say there are a total of n at-bats in the game, and the probability of throwing exactly 1 pitch in a single at-bat is denoted as P(1).

Mathematically, we express this as:

`\[ P(1) = \frac{\text{Number of at-bats with exactly 1 pitch}}{\text{Total number of at-bats}} \]`

This calculation involves counting the at-bats where only 1 pitch is thrown and then dividing it by the total number of at-bats in the game. The result gives us the probability of the event occurring.

The probability can be influenced by various factors such as the pitcher's strategy, the batter's behavior, and the overall dynamics of the game. Calculating this probability requires access to data on the distribution of pitches in baseball games.

In conclusion, to find the probability (p) that a pitcher will throw exactly 1 pitch in an at-bat, one needs to analyze the specific distribution of pitches in the given baseball game.