Saved Bookmarks
| 1. |
The p.d.f of a random variable x is given by `f(x)=(1)/(4a), 0 lt x lt 4a, (a gt 0)` `=0,` otherwise and `P(x lt (3a)/(2))=kP(xgt(5a)/(2)` then k= . . .A. 1B. `(1)/(4)`C. `(1)/(8)`D. `(1)/(2)` |
|
Answer» Correct Answer - A We have p.d.f of a random variable x is given by `f(x) = (1)/(4a), 0 lt x lt 4a. (a gt 0)` and also, `p(x lt (3a)/(2)) = kp (x gt (5a)/(2))` `implies int_(0)^((3a)/(2)) f(x) dx = k int_((5a)/(2))^(4a) f(x) dx` `implies int_(0)^((3a)/(2)) ((1)/(4a)) dx = k int_((5a)/(2))^(4a) ((1)/(4a)) dx` `implies (1)/(4a) int_(0)^((3a)/(2)) dx = (k)/(4a) int_((5a)/(2))^(4a) dx` `implies (x)_(0)^((3a)/(2)) = k (x)_((5a)/(2))^(4a)` |
|