# Choose the correct alternative : Given p.d.f. of a continuous r.v.X as f(x) = x23 for –1 < x < 2 = 0 otherwise then F(1) = _______. - Mathematics and Statistics

MCQ

Choose the correct alternative :

Given p.d.f. of a continuous r.v.X as f(x) =  x^2/(3) for –1 < x < 2 = 0 otherwise then F(1) = _______.

#### Options

• (1)/(9)

• (2)/(9)

• (3)/(9)

• (4)/(9)

#### Solution

F(1) = P(X ≤ 1)

= int_(-1)^(1) x^2/(3)*dx

= (1)/(3) int_(-1)^(1) x^2*dx

= (1)/(9)[x^3]_(-1)^(1)

= (2)/(9).

Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Miscellaneous Exercise 8 | Q 1.06 | Page 153