Let x be a continuous random variable that follows a normal distribution with a mean of 200

Question:

Let x be a continuous random variable that follows a normal with a mean of 200 and a standard deviation of 25.
a. Find the value of x so that the area under the normal curve to the left of x is approximately .6330.
b. Find the value of x so that the area under the normal curve to the right of x is approximately .05.
c. Find the value of x so that the area under the normal curve to the right of x is .8051.
d. Find the value of x so that the area under the normal curve to the left of x is .0150.
e. Find the value of x so that the area under the normal curve between µ and x is .4525 and the value of x is less than µ.
f. Find the value of x so that the area under the normal curve between µ and x is approximately .4800 and the value of x is greater than µ.
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...