statistics. 20 questions
ASSIGNMENT #3
1
. The collection of all possible sample points in
an experiment
is
a. |
the sample space |
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b. |
a sample point |
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c. |
an experiment | |||||||||||||||||||
d. |
the population |
2
. From a group of six people, two individuals are to be selected at random. How many possible selections are there?
12 |
|
3 6 |
|
15 |
|
8 |
3. Two events, A and B, are mutually exclusive and each have a
no
n
zero
probability. If event A is known to occur, the probability of the occurrence of event B is
one |
|
any positive value |
|
zero | |
any value between 0 and 1 |
4
. If A and B are independent events with P(A) = 0.65 and P(A ∩ B) = 0.26, then, P(B) =
0.400 |
|
0.16 9 |
|
0.390 |
|
0.650 |
5. If P(A) = 0.4, P(B | A) = 0.35, P(A B) = 0.69, then P(B) =
0.14 |
0.43 |
0.75 |
0.59 |
6. Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is
much larger than one |
infinity |
none of these alternatives is correct |
7. Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or ti
e.
The number of possible outcomes is
2 | |
4 | |
6 | |
9 |
8. If a coin is tossed three times, the likelihood of obtaining three heads in a row is
0.000 |
0.500 |
0.875 |
0.125 |
9. If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A ∩ B) =
0.76 |
1.00 |
0.24 |
0.20 |
10
. An automobile dealer has kept records on the customers who visited his showroom. 40% of the people who visited his dealership were female. Furthermore, his records show that 35% of the females who visited his dealership purchased an automobile, while 20% of the males who visited his dealership purchased an automobile. Given that an automobile is purchased at the dealership, what is the probability that the customer is a female?
0.080 |
0.550 |
0.538 |
11. A bank gives a test to screen prospective employees. Among those who perform their jobs satisfactorily, 65% pass the test. Among those who do not perform satisfactorily, 25% pass the test. According to the bank’s records, 90% of its employees perform their jobs satisfactorily. What is the probability that a prospective employee who passed the test will not perform satisfactorily?
0.028 |
0.041 |
0.025 |
0.585 |
12. How many committees consisting of 3 female and 5 male students can be selected from a group of 5 female and 8 male students?
200 |
|||
20,160 |
|||
396 |
|||
560 |
|||
e. |
66 |
13. Consider the experiment of tossing a coin three times and recording the outcome. Compute the total number of possible outcomes. You might also want to list the possible outcomes – this will help you with the next several problems.
10 |
14. Refer to question 13. Define an event A = {HHH, TTT, HTH} and an event B = {HHH, HTH, HHT, TTH}. Compute P(A) and P(B).
P(A) = 3/8; P(B) = 1/2 |
P(A) = 1/2; P(B) = 1/2 |
P(A) = 3/4; P(B) = 1/2 |
P(A) = 1/4 ; P(B) = 1/4 |
15. Refer to question 14. Compute P(AB).
1/4 | |
1/2 | |
3/4 |
|
5/8 |
|
1 |
16. Refer to question 14. Compute P(BA).
1/4 |
1/3 |
2/3 |
17. Refer to question 14. Are events A and B independent?
yes |
|
no |
18. Refer to question 14. Are events A and B mutually exclusive?
a.
yes
b.
no
19. If a six-sided die is tossed two times, the probability of obtaining two “4s” in a row is
1/6 |
1/36 |
1/96 |
1/216 |
20. Events A and B are mutually exclusive. Which of the following statements is also true?
A and B are also independent. |
P(A B) = P(A)P(B) |
P(A B) = P(A) + P(B) |
P(A ∩ B) = P(A) + P(B) |
√