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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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