Question

1. What is the probabitity that more than 2 batters will be hit by a pich in a game?

2. What is the probability that at most 1 batter will be hit by a potch in agame?
3. What is the probability that at least 1 batter will be hit by a pitch in a game?
4. What is the probability that less than 2 batters will be hit by a pitch in a game?
5. What is the probability that no batters will be hit by a pitch in the first 3 innings?
6. What is the probability that at least 1 batter will be hit by a pitch in the tirst 3 innings? Major League Baseball (MLB) records 1.2 batters hit by a pitch per game ( 9 innings). A hit batter in on game does not influence or affect the number of batters hit in another game. Adjusting mu:
7. What is the average number of batters that would be hit by a pitch in 3 innings?
8. What is the average number of batters that would be hit by a pitch if 1 inning?
9. What is the average number of batters that would be hit by a pitch in a 4 game series?
10. What is the probability that more than 2 batters will be hit by a pitch in a game?
11. What is the probability that at most 1 batter will be hit by a pitch in a game?
12. What is the probability that at least 1 batter will be hit by a pitch in a game?

Answer 1

To find probabilities related to the number of batters hit by a pitch in a game, we can use the Poisson distribution with a mean of 1.2.

Step-by-step explanation:

1. To find the probability that more than 2 batters will be hit by a pitch in a game, we first need to calculate the average number of batters hit by a pitch per game. Given that there are 1.2 batters hit by a pitch per game, we can use the Poisson distribution to find probabilities. Using a Poisson distribution with a mean of 1.2, we can calculate the probability of more than 2 batters being hit.
2. To find the probability that at most 1 batter will be hit by a pitch in a game, we can find the probability of 0 or 1 batters being hit. Using the Poisson distribution with a mean of 1.2, we can calculate the probability.
3. To find the probability that at least 1 batter will be hit by a pitch in a game, we can find the probability of 1 or more batters being hit. Again, using the Poisson distribution with a mean of 1.2, we can calculate the probability.