Your high school graduating class had 564 members.Thirty-three percent of these are expected to attend college.If the number of students who attend college follows the normal distribution,the probability that less than 160 will attend college is:
A) 0.3610.
B) 0.4900.
C) 0.0090.
D) 0.0832.
E) 0.2500

Question

Quizplus · Accepted Answer

We start by finding the expected number of students who attend college:
564 * 0.33 = 186.12
Now, we need to find the standard deviation:
sqrt(564 * 0.33 * 0.67) = 10.72
Next, we standardize the value we're interested in:
160 - 186.12 / 10.72 = -2.44
Using a standard normal table or calculator, we find that the probability of getting a value less than -2.44 is 0.0086, which is approximately 0.0090. Therefore, the correct answer is choice C.

Your High School Graduating Class Had 564 Members