SOLUTION: Question text The ages of the senior class at a particular university are normally distributed with a mean age of 28.3 years and a standard deviation of 3.14 years. Which of the

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Question 871260: Question text
The ages of the senior class at a particular university are normally distributed with a mean age of 28.3 years and a standard deviation of 3.14 years. Which of the following statements is true ?
Select one:
a. Less than 5% of the senior class is younger than 24 years.
b. More than 95% of the senior class are over the age of 24 years.
c. A student whose age is 30 is above the 68th percentile.
d. The probability of a student selected at random from the senior class having an age greater than 25 is less than 80%.

Found 2 solutions by edjones, ewatrrr:
Answer by edjones(8007) About Me  (Show Source):
Answer by ewatrrr(24785) About Me  (Show Source):
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c. z = (30-28.3)/3.14 = 1.7/3.14 = .5414
P(z < .5414) = 70.59% percentle