Let x be a continuous random variable that follows a normal distribution 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...

Let x be a continuous random variable that follows a normal distribution 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.