Question

The p.d.f. of a continuous random variable X is

f(x) = 0.1 x, 0 < x < 5

= 0, otherwise

Then the value of P(X > 3) is ______ 

Options

• 0.1

• 0.2

• 0.9

• 0.8

Answer 1

The p.d.f. of a continuous random variable X is

f(x) = 0.1 x, 0 < x < 5

= 0, otherwise

Then the value of P(X > 3) is 0.8.

Explanation:

P(X > 3) = `int_3^5 0.1 x  dx = 0.1[x^2/2]_3^5 = 0.8`