Find a value of the standard normal random variable z , call it z0, such that the following probabilities are satisfied.

a. P(minus z0 less than or equals z less than or equals z0) equals 0.8634

b. P(minus z0 less than or equals z less than or equals 0) equals 0.2973

c. P(minus 2 less than z less than z0) equals 0.9619