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

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 80is _______.

(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 asneeded.)

c. What is the probability that the value is more than 110? The probability that the value is more than 110is ______. 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 asneeded.)

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