The following is the p.d.f. of r.v. X: f(x) = x8, for 0 < x < 4 and = 0 otherwise. (c) P(x > 2) - 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.

P(x > 2)

Solution

P( x > 2 )

=  int_(2)^4 f (x) dx

= int_(2)^4 x/8 dx

=1/8[x^2/2]_2^4

=1/8 [16/2 - 4/2]

= 1/8 xx 6

=3/4

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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 2.3 | Page 239