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.
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