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.

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a. What is the probability that the value is less than 90

90?

The probability that the value is less than 90

90

.

(Round to four decimal places asneeded.)

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

70?

The probability that the value is less than 70

.

(Round to four decimal places asneeded.)

c. What is the probability that the value is more than 115

115?

The probability that the value is more than 115

115 is

nothing

.

(Round to four decimal places asneeded.)

d. What is the probability that the value is more than 75

75?

The probability that the value is more than 75

75

.

(Round to four decimal places asneeded.)

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