# Mathematics

Answer the questions below and record your answers in your CASA account. Go to the EMCF tab on the top menu and choose “Homework 10” on the EMCF assignment list. You must record your answers by the deadline given. No late homework will be accepted.

Use the following problem to answer questions 1 – 3.

An unbiased coin is tossed 15 times.

1. Find the probability that the coin lands heads exactly 9 times.

a. 0.0003

b. 0.3571

c. 0.6429

d. 0.1527

e. None of the above.

2. Find the probability that the coin lands tails at least 13 times.

a. 0.0002

b. 0.0037

c. 0.5000

d. 0.0001

e. None of the above.

3. Find the probability that the coin lands heads at most 1 time.

a. 0.00049

b. 0.00140

c. 0.93333

d. 0.00003

e. None of the above.

Use the following problem to answer questions 4 – 6.

A computer stores receives a box of a certain video game. The box contains 35 games of which 4 are defective. A quality-control inspector randomly chooses 6 games from the box.

- 4. What is the probability that exactly 3 are defective?

a. 0.0111

b. 0.0075

c. 0.1667

d. 0.8333

e. None of the above.

5. What is the probability that 2 are good?

a. 0.05410

b. 0.06454

c. 0.15473

d. 0.00029

e. None of the above.Homework 10

6. What is the probability that at least 1 is defective?

a. 0.5120

b. 0.6102

c. 0.5464

d. 0.2957

e. None of the above.

Use the following problem to answer questions 7 and 8.

Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards.

7. What is the probability that she chooses 2 spades and 3 cards that are not spades?

a. 0.7692

b. 0.0782

c. 0.2308

d. 0.2743

e. None of the above.

8. What is the probability that she chooses 3 black cards?

a. 0.4308

b. 0.2273

c. 0.3251

d. 0.0962

e. None of the above.

Use the following problem to answer questions 9 and 10.

A group of 27 people contains 11 males and 16 females. Five people are chosen at random.

9. What is the probability that 1 female is chosen?

a. 0.1826

b. 0.0011

c. 0.0654

d. 0.3442

e. None of the above.

10. What is the probability that at most 1 male is chosen?

a. 0.3021

b. 0.3957

c. 0.0909

d. 0.2044

e. None of the above.Homework 10

Use the following problems to answer questions 11 – 14.

Of 2,000 students surveyed, 90% indicated that they commute to school each day. Of those that

commute to school each day, 83% spend more than $20 a week on gasoline. Of those that do not

commute to school each day, 98% indicated that they do not spend more than $20 a week on

gasoline. A student surveyed is chosen at random.

11. What is the probability that this student does not commute to school each day?

a. 0.0020

b. 0.0980

c. 0.9700

d. 0.1000

e. None of the above.

12. What is the probability that this student does not commute to school each day and does not

spend more than $20 a week on gas?

a. 0.0980

b. 0.1403

c. 0.0020

d. 0.0582

e. None of the above.

13. What is the probability that this student does spend more than $20 a week on gas, given that

he/she does commute to school each day?

a. 0.9700

b. 0.8300

c. 0.7470

d. 0.1034

e. None of the above.

14. What is the probability that this student does spend more than $20 a week on gas?

a. 0.7490

b. 0.8366

c. 0.7840

d. 0.0018

e. None of the above.

Use the following problems to answer question 15.

There are 300 seniors in Jefferson High School, of which 140 are males. It is known that 80% of

the males and 60% of the females have their driver’s license. If a student is selected at random

from this senior class, what is the probability that the student is:

15. A male and has a driver’s license?

a. 0.0933

b. 0.3734

c. 0.4667

d. 0.1000

e. None of the above.Homework 10

16. The choices for problem number 12 from section 6.5 in the book are given below.

a.

b.

c.

d.

e.0.5000

0.3333

0.5946

0.2200

None of the above.17. The choices for problem number 36 part d from section 6.5 in the book are given below.

a. 0.6667

b. 0.2487

c. 0.5628

d. 0.4421

e. None of the above.

18. The choices for problem number 36 part f from section 6.5 in the book are given below.

a. 0.2843

b. 0.7333

c. 0.5465

d. 0.4835

e. None of the above.

19. The choices for problem number 40 part d from section 6.5 in the book are given below.

a. 0.5006

b. 0.0818

c. 0.6871

d. 0.4040

e. None of the above.

20. The choices for problem number 40 part e from section 6.5 in the book are given below.

a. 0.5806

b. 0.1270

c. 0.8183

d. 0.6580

e. None of the above.