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A discrete random variable X has the following probability distribution. What is the value of K?X1234567P(X)K2K2K3KK22K27K2 + K

5256Medium DSSSB TGT Computer Science 0 replies 0 views

A discrete random variable X has the following probability distribution. What is the value of K?

X	1	2	3	4	5	6	7
P(X)	K	2K	2K	3K	K²	2K²	7K² + K

A1/30
B1/10
C1/20
D1/40

Correct answer: B

Explanation

ΣP(X) = 1: K + 2K + 2K + 3K + K² + 2K² + 7K² + K = 10K² + 9K = 1, so 10K² + 9K − 1 = 0, giving K = 1/10 (K = −1 is rejected as probability cannot be negative).

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