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

Find the value of x so that the area under the normal curve to the right of x is .9345

Find the value of x so that the area under the normal curve to the right of x is approximately 0.0275

Find the value of x so that the area under the normal curve to the left of x is approximately .9600

Find the value of x so that the are under the normal curve between mean and x is approximately .4700 and the value of x is less than mean.

Find the value of x so that the area under the normal curve between mean and x is approximately .4100 and the value of x is greater than mean.