Random Variables. The following distribution represents a random variable (X) the number of homeruns hit in a
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- Random Variables. The following distribution represents a random variable (X) the number of homeruns hit in a 7 game baseball series and their respective probabilities.
# of homeruns (X) Probability
1 0.21
2 0.24
3 0.38
4 0.08
5 0.06
6 0.03
a. Is this a valid probability distribution? If so, explain why.
b. Find the expected number of homeruns in a 7 game series. Round to two decimal places.
c. Find the standard deviation for the number of homeruns in the 7 game series. Round to two decimal places.
d. What is the probability of having at least 3 homeruns in the 7 games series?
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