Use Excel function wherever possible. Show explanation of work please.

Problem-1

Given a standard normal random variable (z values) or probabilities, compute the following probabilities or z values, as applicable.

a) P (0 z 0.83)

b) P (1.57 z < 0)

c) P (z > 0.44)

d) The area to the left of z is 0.975

e) The area to the right of z is 0.35