Quiz - Multiple Choice
Identify the choice that best completes the statement or answers the question
1. This pie-chart shows the ethnic makeup of California schools in the 1981-1982 academic year. What is the probability that a randomly selected California student is neither Hispanic or Latino, nor Asian?
a. 5%
b. 69%
c. 3%
d. 26%
e. 31%
2. If P(A ∩ B)= 0.12, P (A ∪ B) = 0.45, and P(B)= 0.24, then find P (A) .
a. 0.33
b. 0.57
c. .09
d. 0.24
e. 0.21
3. Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant had a Math SAT below 400." (Round your answer to the nearest 0.01).
|
|
200 - 399
|
400 - 499
|
500 - 599
|
600 - 699
|
700 - 800
|
Total
|
|
Admitted
|
5
|
717
|
1,124
|
2,882
|
5,209
|
9,432
|
|
Not .Admitted
|
626
|
3,508
|
9,108
|
12,230
|
5,150
|
29,996
|
|
Total Applicants
|
631
|
3,720
|
10,232
|
15,112
|
10,359
|
40,054
|
a. 0
b 0.04
c. 0.07
d. 0.02
e. 0.01
4. Student admissions are based on the following table, which shows the profile, by Math SAT I scores, of admitted students at some university for the Fall 2004 semester. Determine the theoretical probability of the event: "An applicant had a 'Alath SAT of 700 or above or was admitted: (Round your answer to the nearest 0.01).
|
|
200 - 399
|
400- 499
|
500 - 599
|
600 - 699
|
700 - 800
|
Total
|
|
Admitted
|
5
|
212
|
1,137
|
2,882
|
5,205
|
9,441
|
|
Not Admitted
|
7M
|
3,518
|
9,322
|
12.30
|
5,150
|
30, 984
|
|
Total Applicants
|
769
|
3,730
|
10,459
|
15,112
|
10,355
|
40,425
|
a. 036 b. 034 c. 0.13 d. 0.26 e. 0.23
5. The following table shows hypothetical U. S. employment figures, broken down by educational artainment. All numbers are in millions and represent civilians aged 16 years and over. Those clan d as "Not in Labor Force" were not employed nor actively seeking employment Find the probability that a person was employed given that the person has more than 4 years of high school. Please round the answer to two decimal places.
|
|
Employed
|
Unemployed
|
Not in
Labor
Force
|
Total
|
|
Less Than 4 Years High School
|
10.8
|
0.8
|
10.5
|
22.1
|
|
More than 4 Years High School
|
64.8
|
3.1
|
19.6
|
87.5
|
|
Total
|
75.6
|
3.9
|
30.1
|
10,9.6
|
a. 0.76
b. 0.74
c. 0.96
d. 0.97
e. 0.73
6. P (A|B) = 0.2, P(B) =0.6. Find P (A ∩ B).
a. P(A ∩ B) = 0.16
b. P(A ∩ B) = 0.13
c. P(A ∩ B) = 0.14
d. P(A ∩ B) = 0.09
e. P(A ∩ B) = 0.12
7. The table shows the results of a survey of 98 authors by a publishing company. Compute the conditional probability: An author is established„ given that she is successful.
|
|
New Authors
|
Established Authors
|
Total
|
|
Successful
|
5
|
25
|
30
|
|
Unsuccessful
|
14
|
54
|
68
|
|
Total
|
19
|
79
|
98
|
a. 6/25
b. 37/49
c. 25/98
d. 5/6
e. 1/6.
8. There is a 53% chant e of rain today and a 47% chance of rain tomorrow. Assuming that the event that it rains today is independent of the event that it rains tomorrow, what is the probability that there will be no rain today or tomorrow? Please round the answer to two decimal places.
a. 0.15
b. 0.27
c. 0.14
d . 014
e. 015
9. A pair of dice is c as and the number that appears uppermost on each die is observed. Find the probability of the event that the sum of the numbers is 5.
a. 1/5
b. 31/36
c. 1/9
d.5/36
e. 1/6
10. According to a New YorkTimes/CBS poll released in March, 2005, 76% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 42% agreed that it would be a good idea to invest part of their social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places)
a. 0.43
b. 0.32
c. 0.31
d. 0.27
e 0.22