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In A Major League Baseball game, a home team and an away team each get 9 "innings" of play (basically 9 rounds and

we can ignore overtime aka "extra innings"). Suppose the average number of strikeouts in a full baseball game is 8.5

for the home team and 7 for the away team. Assume a Poisson distribution for the number of strikeouts in a game.

1. Determine the probability the away team gets more than 7 strikeouts in a game.

2. Using the fact that there are (usually) 9 innings in a baseball game, determine the probability that the away

team gets more than 3 strikeouts over 2 innings.

3. During a game you are watching the home team has already gotten 6 strikeouts by the end of the 5th inning.

What is the probability the home team gets less than 8 strikeouts for the whole game?

4. In a single game, determine the probability that either the home team or away team get at most 5 strikeouts.

Assume the teams are equally matched.

Fig: 1