# The following is the p.d.f. of r.v. X: f(x) = x8, for 0 < x < 4 and = 0 otherwise. Find P (x < 1·5) - Mathematics and Statistics

Sum

The following is the p.d.f. of r.v. X:

f(x) = x/8, for 0 < x < 4 and = 0 otherwise.

Find P (x < 1·5)

#### Solution

P (x < 1·5)

=  int_(0)^1.5 f (x) dx

=  int_(0)^1.5 x/8 dx

= 1/8[x^2/2]_0^1.5

= (1.5)^2/16 - 0

=((9/4))/16

= 9/64.

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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 7 Probability Distributions
Exercise 7.2 | Q 2.1 | Page 239