Question: The probability distribution of a random variable X is given below. X=x 2 4 6 8 P(X=x) 0.25 0.25 0.40 0.10 1. Calculate the expected

The probability distribution of a random variable X is given below.

X=x 2 4 6 8
P(X=x) 0.25 0.25 0.40 0.10

1. Calculate the expected value of X

2. Calculate the standard deviation of X to four decimal places

3. Calculate P(X<8X>2) to four decimal places

4. Does X have a uniform distribution? Briefly justify your answer

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