Solved: 1 what is the expected number of curve balls the pitcher, Basic Statistics

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1 what is the expected number of curve balls the pitcher

QUESTION:

Assume that the number of curve balls a pitcher throws follows a Binomial model and that there is a 30% chance that the pitcher throws a curve ball.

1. What is the expected number of curve balls the pitcher throws out of 10 pitches?

2. What is the standard deviation for the number of curve balls the pitcher throws out of 10 pitches?

3. What is the probability that the pitcher throws exactly 2 curve balls out of 10 pitches?

4. What is the probability that a pitcher throws no curve balls out of 15 pitches?

5. What is the probability that the pitcher throws at least 2 curve balls out of 15 pitches?

6. What is the probability that a pitcher throws at least 13 curve balls out of 15 pitches?

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