A random variable N has pmf pn(k) constant. k(k+ 1) where k 2,3,4,..., and c is a (a) Derive the value of constant c.
Posted: Wed Dec 08, 2021 5:12 am
- A Random Variable N Has Pmf Pn K Constant K K 1 Where K 2 3 4 And C Is A A Derive The Value Of Constant C 1 (10.33 KiB) Viewed 93 times
(b) Find a simple expression for the cdf Fr(2) of N (that is, you should simplify any potential sum appearing in the expression).
(c) Find the mean of N, if it exists. If it does not exist, prove that it does not exist.
(d) Find the standard deviation of N, if it exists. If it does not exist, prove that it does not exist.
(e) Let Y = (-1)^ N. What are the possible values of Y? Does the mean of Y exist? Justify your answer.