assume all variables are binomial. (Note: If

Chapter 5, Problem 15E

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QUESTION:

Assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)

People Who Have Some College Education Fifty- three percent of all persons in the U.S. population have at least some college education. Choose 10 persons at random. Find the probability that

a. Exactly one-half have some college education

b. At least 5 do not have any college education

c. Fewer than 5 have some college education

Source: New York Times Almanac.

Questions & Answers

QUESTION:

Assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)

People Who Have Some College Education Fifty- three percent of all persons in the U.S. population have at least some college education. Choose 10 persons at random. Find the probability that

a. Exactly one-half have some college education

b. At least 5 do not have any college education

c. Fewer than 5 have some college education

Source: New York Times Almanac.

ANSWER:

Step 1 of 4

(a)

Choose 10 persons at random.

We are asked to find the probability that exactly one-half have some college education.

Let  denote the number of the persons.

We need to find

Using the binomial distribution, we can find the probability.

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