Population of College CitiesCollege students often make up

Chapter 6, Problem 16E

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QUESTION:

Problem 16E

Population of College CitiesCollege students often make up a substantial portion of the population of college cities and towns. State College, Pennsylvania, ranks first with 71.1% of its population made up of college students. What is the probability that in a random sample of 150 people from State College, more than 50 are not college students?

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QUESTION:

Problem 16E

Population of College CitiesCollege students often make up a substantial portion of the population of college cities and towns. State College, Pennsylvania, ranks first with 71.1% of its population made up of college students. What is the probability that in a random sample of 150 people from State College, more than 50 are not college students?

ANSWER:

Answer

Step 1 of 1

(a)

71.1% of cities and towns population made up of a college student.

We are asked to find the probability that in a random sample of 150 people from State College, more than 50 are not college students.

Let  denote the number of students who are not from college.

We need to find

We can write,

Here we will use the normal approximation to the binomial approximation.

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