If X is Bin(200, 0.5) (1) What is the expectation and variance of X? (2) Which approximation is better? Poisson or normal, justify your answer. (3) Using your approximation, find the approximate...

If X is Bin(200, 0.5)
(1) What is the expectation and variance of X?
(2) Which approximation is better? Poisson or normal, justify your answer.
(3) Using your approximation, find the approximate probability of X=102.
(4) Using your approximation, find the approximate probability of X no less than 108.

please explain fully with all the steps