a)Determine and sketch its cumulative probability distribution function F(a)
b)A new discrete random variable is defined as the sum of two rolls of this die. That is, B=A1+A2, where A1 and A2 are the random variables representing the first two rolls. Determine the probability mass function of
B. Question 2: We have a collection of steel circles. The radius of each circle is a realization of a random variable R uniformly distributed in [1, 5]
a) Determine the expected value of the volume of the circles. Note: A= π R2 (10 pts)
b) Is it true that E(A) = π [E(R)]2 ? Explain your answer. (8 pts)
Requirements: not too long