# Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.
a. Find the value of x so that the area under the normal curve to the left of x is .0250.
b. Find the value of x so that the area under the normal curve to the right of x is .9345.
c. Find the value of x so that the area under the normal curve to the right of x is approximately .0275.
d. Find the value of x so that the area under the normal curve to the left of x is approximately .9600.
e. Find the value of x so that the area under the normal curve between µ and x is approximately
.4700 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 .4100 and the value of x is greater than µ.

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