probability distribution of a random variable X is given below.

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

The probability distribution of a random variable X is given below.
40 50
3k 12k | 3k
X =
10 20
30
P(X = x)| k
k
i. Explain why k
0.05.
ii. Calculate the variance of X.
iii. Calculate P(X > E(X)|X > 10).
iv. Does X have a normal distribution? Briefly explain your answer.
Transcribed Image Text:The probability distribution of a random variable X is given below. 40 50 3k 12k | 3k X = 10 20 30 P(X = x)| k k i. Explain why k 0.05. ii. Calculate the variance of X. iii. Calculate P(X > E(X)|X > 10). iv. Does X have a normal distribution? Briefly explain your answer.
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