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Question
F(x) is c.d.f. of discrete r.v. X whose p.m.f. is given by P(x) = `"k"^4C_x` , for x = 0, 1, 2, 3, 4 and P(x) = 0 otherwise then F(5) = _______
Options
`(1)/(16)`
`(1)/(8)`
`(1)/(4)`
1
Solution
F(x) is c.d.f. of discrete r.v. X whose p.m.f. is given by P(x) = `"k"^4C_x` , for x = 0, 1, 2, 3, 4 and P(x) = 0 otherwise then F(5) = 1
Explanation:
Given,
P(x) = `"k"^4C_x`, for x = 0, 1, 2, 3, 4.
= 0, otherwise.
∴ f(5) = P(X ≤ 5)
= P(X ≤ 4) + P(X = 5)
= 1 + 0
= 1.
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