Assuming that the null hypothesis H0: d = 0 is true, answer the following questions. a. Why

Question:

Assuming that the null hypothesis H0: ηd = 0 is true, answer the following questions.
a. Why is the probability that an observed paired difference exceeds 0 equal to 0.5?
b. In a simple random sample of size n, why does the number of paired differences that exceed 0 have a binomial with parameters n and 0.5?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...