Reference no: EM131109227

1. Match the proposed probability of A with the appropriate verbal description. P(A) =.02.

An incorrect assignment.
Very likely to happen
No chance of happening
Very little chance of happening

Question 2. A letter is chosen at random from the word "FOUL". What is the probability that it is a vowel?

0.25
0.50
0.75
0.33

Question 3. Fifteen persons reporting to a Red Cross center one day are typed for blood, and the following counts are found:

Blood group	0	A	B	AB
No.of persons	2	5	7	1

If one person is randomly selected, what is the probability that this person's blood group is: AB?

2/15
3/5
1/15
½

Question 4. For two events A and B, the following probabilities are given.

Use the appropriate laws of probability to calculate: P(A^-)

P(A) = 0.4, P(B) = 0.25, P(A | B) = 0.8

0.25
0.5
0.6
1.0

Question 5. 5. For two events A and B, the following probabilities are given.
P(A) = 0.5, P(B) = 0.15, P(A | B) = 0.8

Use the appropriate laws of probability to calculate P(A ∪ B) .
0.45
0.53
0.67
0.73

Question 6. Of 10 available candidates for membership in a university committee, 5 are men and 5 are women. The committee is to consist of 4 persons. How many different selections of the committee are possible?

210
250
400
350

Question 7. Of 12 available candidates for membership in a university committee, five are men and seven are women. The committee is to consist of four persons. How many selections are possible if the committee must have two men and two women?

175
444
225
210

Question 8. In given case, find the probability of x successes in n Bernoulli trials with success probability p for each trial.

X=4 n=5 p=.55
Round your answers to three decimal places. The probability is:
0.444
0.333
0.206
0.521

Question 9. About 76% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the probability that three or more buy their dog holiday presents.

Round to four decimal places.

.7550
.6867
.6693
.8934

Question 10. Match the proposed probability of A with the appropriate verbal description.

P(A) = 0.97

Very likely to happen.
As much chance of occurring as not.
No chance of happening.
An incorrect assignment.

11. Match the proposed probability of A with the appropriate verbal description. P(A) = 0.96

As much chance of occurring as not
Very likely to happen
No chance of happening
Very little chance of happening
An incorrect assignment

12. Match the proposed probability of A with the appropriate verbal description. P(A) = 0.06

No chance of happening
Very little chance of happening
An incorrect assignment
Very likely to happen
As much chance of occurring as not

13. Consider the following experiment: A coin will be tossed twice. If both tosses show heads, the experiment will stop. If one head is obtained in the two tosses, the coin will be tossed one more time, and in the case of both tails in the two tosses, the coin will be tossed two more times.
The tree diagram and list the sample space is shown below.

Give the composition of the following events.

14. A letter is chosen at random from the word "PLAYER". What is the probability that it is a vowel? Assume that "Y" is a vowel.
The probability

15. Suppose you are eating at a pizza parlor with two friends. You have agreed to the following rule to decide who will pay the bill. Each person will toss a coin. The person who gets a result that is different from the other two will pay the bill. If all three tosses yield the same result, the bill will be shared by all. Find the probability that all three will share.

16. Fifteen persons reporting to a Red Cross center one day are typed for blood, and the following counts are found:

Blood group      O   A   B  AB
No.of persons   5    3   6  1

If one person is randomly selected, what is the probability that this person's blood group is: AB? Give exact answer in terms of fractions.

17. Fifteen persons reporting to a Red Cross center one day are typed for blood, and the following counts are found:

Blood group     O  A  B   AB
No.of persons  7   3  4   1

If one person is randomly selected, what is the probability that this person's blood group is either A or B?

Give exact answer in fraction form.

18. Fifteen persons reporting to a Red Cross center one day are typed for blood, and the following counts are found:

Blood group     O   A   B  AB
No.of persons   2   5   7  1

If one person is randomly selected, what is the probability that this person's blood group is not O?
Give exact answer in fraction form.

 

19. A sample space consists of 7 elementary outcomes e1, e2, . . ., e7 whose probabilities are

P(e1) = P(e2) = P(e3) = 0.13 P(e4) = P(e5) = 0.04
P(e6) = 0.1 P(e7) = 0.43

Suppose A = { e4 , e5 , e6 , e7 } , B = { e1 , e6 , e7 } calculate P(A) , P(B) , P(AB) .

20. A sample space consists of 7 elementary outcomes e1, e2, . . ., e7 whose probabilities are

P(e1) = P(e2) = P(e3) = 0.15 P(e4) = P(e5) = 0.04
P(e6) = 0.3 P(e7) = 0.17

Suppose A = { e4 , e5 , e6 , e7 } , B = { e1 , e6 , e7 } . It can be calculated that P(A) = 0.55, P(B) = 0.62 and P(AB) = 0.47 .

Employ the laws of probability to calculate P(A^-) and P(A∪B) .

21. The following data relate to the proportions in a population of drivers.

A = [Accident in current year] B = [Defensive driver training last year]

The probabilities are given in the accompanying Venn diagram.

Find P(B|A). Round the answer to 4 decimal places.

Are A and B independent?

22. For two events A and B, the following probabilities are given.

P(A) = 0.4, P(B) = 0.25, P(A | B) = 0.7

Use the appropriate laws of probability to calculate P(A^-).

23. For two events A and B, the following probabilities are given.
P(A) = 0.5, P(B) = 0.15, P(A | B) = 0.6
Use the appropriate laws of probability to calculate P(A∪B) .

24. In given case, find the probability of x successes in n Bernoulli trials with success probability p for each trial.

Round your answers to 3 decimal places.

25. In given case, find the probability of x successes in n Bernoulli trials with success probability p for each trial.

Round your answers to 3 decimal places.

26. About 74% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the probability that three or more buy their dog holiday presents.
Round to four decimal places.

27. About 74% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the probability that at most three buy their dog holiday presents.
Round to four decimal places.

28. About 73% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the expected number of persons, in the sample, who buy their dog holiday presents.
Round to four decimal places