GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY.

IF YOU CANNOT TYPE,PLEASE PROVIDE NEAT AND CLEAR HANDWRITING.DO NOT GIVE BLUR AND CLUMSY WRITING.IT IS HARD FOR ME TO UNDERSTAND.

Kindly give accurate and correct answers.Kindly give step by step working.Do not skip steps. Mention and be very clear about the formula and conversion.Then,explain to support and prove the working and answers.

Continuous random variable

Q1

Problem 1 Let X be a random variable with PDF given by fx (x) 0 otherwise a. Find the constant c. b. Find EX and Var(X). c. Find P(X 2 -).Let X be a continuous random variable with PDF 473 0 2).1) The probability distribution function for a discrete random variable X is given by: (10-x) P(X = X) = forx = 0,1,2,3,4,5, k lo elsewhere a Find the value of k. b FindP(1