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Problem 1: Let X be the random variable with the following probability distribution:

Random variable X

Probability

1

0.15

2

0.10

3

0.05

4

0.30

5

0.15

6

0.05

7

0.20

a. What is the expected value of the probability distribution?

b. What is the variance of the probability distribution?

c. What is the standard deviation of the probability distribution?

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