(a) What is the probability that a random variable with a standard normal distribution takes a value...

Question:

(a) What is the probability that a random variable with a standard normal takes a value between 0.6 and 2.2?
(b) What is the probability that a random variable with a normal with μ = 4.1 and σ = 0.25 takes a value between 3.5 and 4.5?
(c) What is the probability that a random variable with a chi-square with 28 degrees of freedom takes a value between 16.928 and 18.939?
(d) What is the probability that a random variable with a t-distribution with 22 degrees of freedom takes a value between -1.717 and 2.819?
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...