SOLUTION: 7) The age of student are normally distributed with a mean of 25 and a standard deviation of 4.25. If a student is chosen at random, what is the probability that : a) THE student

Question 379936: 7) The age of student are normally distributed with a mean of 25 and a standard deviation of 4.25. If a student is chosen at random, what is the probability that :
a) THE student age is at least 27
b) THE student age is between 26 and 30

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Here and .

a) . Hence .

b) . Hence P(26 < X < 30) = P(0.235 < Z < 1.176)
In either case, just use a usual standard normal table to find the probabilities.
RELATED QUESTIONS
The scores of students on a standardized test are normally distributed with a mean of 300 (answered by stanbon)

. Edna Crabapple is 170 cm tall. If the heights of her students are distributed... (answered by ikleyn)

SAT verbal scores are normally distributed with a mean of 430 and a standard deviation... (answered by edjones)

If SAT scores are normally distributed with a mean of 1,000 and a standard deviation of... (answered by Fombitz)

Question text The ages of the senior class at a particular university are normally... (answered by edjones,ewatrrr)

A manufacturer knows that their items have a normally distributed length, with a mean of (answered by Edwin McCravy)

Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a... (answered by ewatrrr)

The scores on a statistics test were normally distributed with a mean of 78 and a... (answered by Theo)

How to do this: Scores on a test are normally distributed with a mean of 78 and a... (answered by Theo)