Suppose fx1x2 is a probability density function for xgreater

Suppose f(x)=1/x^2 is a probability density function for x(greater than or equal to)1. Find Pr(2(less than or equal to)X(less than or equal to)10). Write as a reduced fraction.

Solution

P(2<=X<=10)= integration of (1/x^2) from 2 to 10

=(-1/x) from 2 to 10

=-1/10-(-1/2)

=1/2-1/10

=2/5