# Calculating the desired probability values

Z is the standard normal random variable that is, the normal random variable with mean 0 and standard deviation 1. Use the table values in your textbook to determine the following

a. The probability that z is less than -2.12.

b. The probability that z is greater than 1.57.

c. The probability that z is between -1.84 and 0.60.

d. The value of z such that the area to the left of z is 0.4721.

e. The value of z such that the area to the right of z is 0.9958.

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#### Solution Preview

a. The probability that z is less than -2.12.

Table gives the value of area under the curve between mean and Z value. So,

P(Z<-2.12)=0.50-P(-2.12<Z<0)=0.50-0.4830=0.017

b. The probability that z is greater than 1.57.

Table gives the value of area under the curve between mean and Z value. ...

#### Solution Summary

Solution calculates the desired probability values.