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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