Question

If the p.d.f. of X is

f(x) = `x^2/18,   - 3 < x < 3`

      = 0,        otherwise

Then P(X < 1) is ______.

विकल्प

• `13/27`

• `14/27`

• `15/27`

• `16/27`

Answer 1

If the p.d.f. of X is

f(x) = `x^2/18,   - 3 < x < 3`

      = 0,        otherwise

Then P(X < 1) is `underlinebb(14/27)`.

Explanation:

P(X < 1) = `int_-3^1 f(x)dx`

= `int_-3^1  x^2/18dx`

= `[x^3/54]_-3^1`

= `1/54 + 27/54`

= `28/54`

= `14/27`