Suppose that y is a random variable having a normal distribution with a mean equal to 250

Question:

Suppose that y is a random variable having a normal with a mean equal to 250 and a standard deviation equal to 10.
a. Show that the event y < 260 has the same probability as z < 1.
b. Convert the event y < 230 to the z-score equivalent.
c. Find P(y < 260) and P(y > 230).
d. Find P(y > 265), P(y < 242), and P(242 < y < 265).
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...