A random variable X has following probability distribution X = x 1 2 3 4 5 6 P X = x K 3 K 5 K 7 K 8 K K Then, P 2 ≤ X 5 = ________

Question

A random variable X has following probability distribution X = x 1 2 3 4 5 6 P X = x K 3 K 5 K 7 K 8 K K Then, P 2 ≤ X 5 = ________, 3 5, 7 25, 23 25, 24 25

MARKS App · Accepted Answer

Given: Probability distribution X = x 1 2 3 4 5 6 P X = x K 3 K 5 K 7 K 8 K K ∵ ∑ 1 = 1 6 p X = x = 1 ⇒ 25 k = 1 ⇒ k = 1 25 then, p 2 ≤ x 5 = p x = 2 + p x = 3 + p x = 4 = 3 k + 5 k + 7 k = 15 k ⇒ 3 5

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