Question

A random variable has the density function c/(x^2 +1)
(a) Find the value of the constant c.
(b) Find the probability that lies between and 1.
(c) Find the distribution function corresponding to the density function.

Answer 1

Answer:

A random variable has the density function c/(x^2 +1).

The length of time (in minutes) that a certain person speaks on the telephone is

found to be random phenomenon, with a probability function specified by the

probability density function f(x) as f(x)={Ae^-x/5 ,for greater than or equal to 0

{0,otherwiseThe length of time (in minutes) that a certain person speaks on the telephone is

found to be random phenomenon, with a probability function specified by the

probability density function f(x) as f(x)={Ae^-x/5 ,for greater than or equal to 0

{0,otherwiseThe length of time (in minutes) that a certain person speaks on the telephone is

found to be random phenomenon, with a probability function specified by the

probability density function f(x) as f(x)={Ae^-x/5 ,for greater than or equal to 0

{0,otherwise.