4. (20 points) A random variable is defined to be Z = X +Y where X and Y are independent and both U ( −1 , 1). (a) Find the PDF of Z. (b) Use the PDF in part (a) to find the mean and variance of Z. Note that whilte there are other ways of finding these values, you will only receive credit for using the PDF of Z.

image 53 - 4. (20 points) A random variable is defined to be Z = X +Y where X and Y are independent and both U ( −1 , 1). (a) Find the PDF of Z. (b) Use the PDF in part (a) to find the mean and variance of Z. Note that whilte there are other ways of finding these values, you will only receive credit for using the PDF of Z.

This content is for Premium members only.
sign up for premium and access unlimited solutions for a month at just 5$(not renewed automatically)


images - 4. (20 points) A random variable is defined to be Z = X +Y where X and Y are independent and both U ( −1 , 1). (a) Find the PDF of Z. (b) Use the PDF in part (a) to find the mean and variance of Z. Note that whilte there are other ways of finding these values, you will only receive credit for using the PDF of Z.

already a member please login


0   +   1   =