Question: The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .25 4 .15 a. Is this probability

The random variable x has the following probability distribution:

x f(x)
0 .25
1 .20
2 .15
3 .25
4 .15

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.
b. Calculate the expected value of x.
c. Calculate the variance of x.
d. Calculate the standard deviation of x.

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