1. Event A occurs with probability 0.2. Event B occurs with probability 0.3. Eve
ID: 3175215 • Letter: 1
Question
1. Event A occurs with probability 0.2. Event B occurs with probability 0.3. Event C occurs with probability 0.4. If A, B, and C are disjoint, then:
All of the answer choices are correct.
8.
Number of red marbles
0
1
2
3
Probability
1/4
1/2
1/2
1/4
Number of red marbles
0
1
2
3
Probability
1/4
3/8
3/8
1/4
Number of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
Number of red marbles
0
1
2
3
Probability
1/8
1/4
1/4
1/8
9.
Number of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
For this distribution, the probability exactly one red marble is given by:
1/3
10.
Number of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
For this distribution, the probability two or more red marbles is given by:
6/8.
11.
Age
15–17
18–24
25–34
35 or older older
Probability
0.007
0.573
0.260
0.160
If we randomly select a full-time student, what is the probability that he/she is 25 or older?
The answer is impossible to determine from the information given.
P(A or B or C) = 0.9. P(A or B) = 0.5. P(A or C) = 0.6.All of the answer choices are correct.
8.
An urn contains two red and two green marbles. We pick one marble, record its color, and replace it before picking the second marble. We repeat this procedure a third time. The probability distribution for the number of red marbles is given by:Number of red marbles
0
1
2
3
Probability
1/4
1/2
1/2
1/4
Number of red marbles
0
1
2
3
Probability
1/4
3/8
3/8
1/4
Number of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
Number of red marbles
0
1
2
3
Probability
1/8
1/4
1/4
1/8
9.
An urn contains two red and two green marbles. We pick one marble, record its color, and replace it before picking the second marble. We repeat this procedure a third time. The probability distribution for the number of red marbles is given byNumber of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
For this distribution, the probability exactly one red marble is given by:
1/3
10.
An urn contains two red and two green marbles. We pick one marble, record its color, and replace it before picking the second marble. We repeat this procedure a third time. The probability distribution for the number of red marbles is given byNumber of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
For this distribution, the probability two or more red marbles is given by:
6/8.
11.
According to the Current Population Survey, the following table summarizes probabilities for randomly selecting a full-time student in various age groups:Age
15–17
18–24
25–34
35 or older older
Probability
0.007
0.573
0.260
0.160
If we randomly select a full-time student, what is the probability that he/she is 25 or older?
The answer is impossible to determine from the information given.
Explanation / Answer
P(A or B)=0.2+0.3=0.5
P( A or C)=0.2+0.4=0.6
hence all answers are correct
8)
Number of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
9)
For this distribution, the probability exactly one red marble is given by:
10) For this distribution, the probability two or more red marbles is given by:
3/8+1/8=1/2
11)probability that he/she is 25 or older =0.260+0.160=0.420
Number of red marbles
0
1
2
3
Probability
1/8
3/8
3/8
1/8
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