Let x be a continuous random variable that follows a normal distribution with a 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 are 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 between and x is approximately .4799 and the value of x is less that .

Can you please provide step by step instructions on how to solve each one of these. Thank You.