A continuous random variable

x

that can assume values between

x=1

and

x=3

has a density function given by

f(x)=(1)/(2)

.\ (a) Show that the area under the curve is equal to 1.\ (b) Find

P(x

|

=1\\\\int_1^3 ((1)/(2))dx=,3\\\\int_(-\\\\infty )^(\\\\infty ) ((1)/(2))dx=,\\\\infty _(\\\\infty )^(\\\\infty )=1

A continuous random variable X that can assume values between x=1 and x=3 has a density function given by f(x)=21 (a) Show that the area under the curve is equal to 1. (b) Find P(2