Mutiple Questions Math 21

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

An incorrect assignment.

Very likely to happen

No chance of happening

Very little chance of happening

Question 2. 2. A letter is chosen at random from the word "FOUL". What is the probability that it is a vowel? (Points : 1)

0.25

0.50

0.75

0.33

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

If one person is randomly selected, what is the probability that this person's blood group is: AB? (Points : 1)

2/15

3/5

1/15

½

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

Use the appropriate laws of probability to calculate:

P(A) = 0.4, P(B) = 0.25, P(A | B) = 0.8 (Points : 1)

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) . (Points : 1)

0.45

0.53

0.67

0.73

Question 6. 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? (Points : 1)

210

250

400

350

Question 7. 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? (Points : 1)

175

444

225

210

Question 8. 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: (Points : 1)

0.444

0.333

0.206

0.521

Question 9. 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. (Points : 1)

.7550

.6867

.6693

.8934

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

(Points : 1)

Very likely to happen.

As much chance of occurring as not.

No chance of happening.

An incorrect assignment.

1.Match the proposed probability of A with the appropriate verbal description.

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

3. 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.

Make a tree diagram and list the sample space.

Choose the correct answer.

4. 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.

A = [Two heads]: {

}

B = [Two tails]: {

}

5. 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

6. 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.

The probability =

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

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.

P(AB) =

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

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.

P(A or B) =

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

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.

P(Not O) =

10. A day of the week will be selected to hold an all-day club picnic. The sample space has seven elementary outcomes, e1, e2, . . ., e7 where represents Sunday, Monday, and so on. Two events are given as A = { e4 , e5 , e6 , e7 } and B = { e1 , e6 , e7 } . Draw a Venn diagram and show the events A and B.

Choose the correct answer.

11. A day of the week will be selected to hold an all-day club picnic. The sample space has seven elementary outcomes e1 , e2, . . ., e7 where e1 represents Sunday, e2 Monday, and so on. Two events are given as A = {e1, e2, e6, e7} and B = {e3, e6, e7}.

12. 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) .

P(A) =

P(B) =

P(AB) =

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13. 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   and P(A ∪ B) .

 =

P(A ∪ B) =

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14. 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.

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

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· Are A and B independent?

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15. 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  

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16. 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) .

P(A ∪ B) =

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

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· Round your answers to 3 decimal places.

· The probability is

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

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· Round your answers to 3 decimal places.

· The probability is

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19.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.

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· Warning