Question: The probability distribution of a random variable Y is given below. Y = y 2 4 6 8 P(Y = y) 0.1 0.3 0.4 0.2

The probability distribution of a random variable Y is given below. Y = y 2 4 6 8 P(Y = y) 0.1 0.3 0.4 0.2

i. Find the expected value of Y , denoted E(Y ).

ii. Find the standard deviation of Y , denoted Y .

iii. Find the probability that Y is within one standard deviation of its expected value.

iv. Explain why Y does not have a discrete uniform distribution.

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