## A Random Variable Follows The Normal Probability Distribution

A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below.a. What is the probability that the value is less than 80 ?The probability that the value is less than 80 is _______.(Round to four decimal places as needed.)b. What is the probability that the value is less than 70 ?The probability that the value is less than 70 is ______.(Round to four decimal places as needed.) c. What is the probability that the value is more than 110?The probability that the value is more than 110 is ______.d. What is the probability that the value is more than 95?The probability that the value is more than 95 is ______.(Round to four decimal places as needed.)

## A random variable follows the normal probability distribution

Question
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below.

a. What is the probability that the value is less than 80 ?
The probability that the value is less than 80 is _______.

(Round to four decimal places as needed.)

b. What is the probability that the value is less than 70 ?

The probability that the value is less than 70 is ______.
(Round to four decimal places as needed.)

c. What is the probability that the value is more than 110?
The probability that the value is more than 110 is ______.
d. What is the probability that the value is more than 95?
The probability that the value is more than 95 is ______.
(Round to four decimal places as needed.)