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

Answer 1

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.