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. Click here to view page 1 of the standard normal probability table. Click here to view page 2 of the standard normal probability table.

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 75​? The probability that the value is less than 75 is _____. ​(Round to four decimal places as​ needed.)

c. What is the probability that the value is more than 105​? The probability that the value is more than 105 is ______. ​(Round to four decimal places as​ needed.)

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.)

Answer 1

From nopoabil lable To P (Z -2.5) O 0062 From rormal probabilit tale P(Z 705 0-3085 fom normal probabiit Loble PZ-0.5) 915 Fromnol probohilit tale