Math 136 - Introduction to Statistics » Fall 2021 » Homework 3 Probability
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Question #1
Find the indicated complement. If P(A) =1/7, find P(Not A)
A.
1/8
B.
6/7
C.
7/1
D.
0
Question #2
The probability that Luis will pass his statistics test is 0 .9. Find the probability that he will fail his statistics test.
A.
9.00
B.
0.1
C.
0.45
D.
1.11
Question #3
If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?
A.
25/52
B.
9/26
C.
11/26
D.
1/22
Question #4
A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 6 wood and 14 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.
A.
There is insufficient information to answer the question.
B.
0.1
C.
0.53
D.
0.57
Question #5
A 6-sided die is rolled. Find P(3 or 5).
A.
1/3
B.
1/5
C.
1/6
D.
1/36
Question #6
A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing an ace or a 9).
A.
4/13
B.
2/13
C.
8
D.
13/2
Question #7
In one town, 39% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
A.
0.148
B.
0.780
C.
0.390
D.
0.152
Question #8
A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable.
A.
0.343
B.
0.027
C.
2.1
D.
0.429
Question #9
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
A.
0.7744
B.
0.7733
C.
0.176
D.
0.0144
Question #10
In one town, 79% of adults have health insurance. What is the probability that 4 adults selected at random from the town all have health insurance? Round to the nearest thousandth if necessary.
A.
3.16
B.
0.79
C.
0.051
D.
0.39
Question #11
A study conducted at a certain college shows that 51% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 5 randomly selected graduates all find jobs in their chosen field within a year of graduating. Round to the nearest thousandth if necessary.
A.
0.068
B.
0.035
C.
0.098
D.
2.55
Question #12
Find the indicated probability. Round to the nearest thousandth. An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
A.
0.1
B.
0.001
C.
0.900
D.
0.999
Question #13
A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?
A.
0.819
B.
0.16
C.
0.168
D.
0.832
Question #14
Evaluate the expression. 4!
A.
20
B.
6
C.
28
D.
24
Question #15
Evaluate the expression. 6P4
A.
360
B.
24
C.
30
D.
2
Question #16
Evaluate the expression. 11C4
A.
5040
B.
3
C.
1980
D.
330
Question #17
Solve the problem. A state lottery involves the random selection of six different numbers between 1 and 25. If you select one six number combination, what is the probability that it will be the winning combination?
A.
1/244,140,625
B.
1/177,100
C.
1/127,512,000
D.
1/720
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