For each of the following questions, you must show the calculator notation used to find the correct answer, such as NormalCDF(-2, 1, 0, 1) or BinomPDF(8, 0.6, 3) or the table values used and other associated calculations.

1. The random variable X follows a normal distribution with a mean of 100 and a standard deviation of 7.

Find each of the following.

a) P( X < 95)

b) P(90 < X < 110)

c) P(X > 102)

d) The value of c such that P(X > c) = 0.15.

e) The value of c such that P(x < c) = 0.15.