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Chapter_4_MATH_PROBLEMS
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Chapter 4, Section 4.1, Problem 01b

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

P(A) = O.93

 Very likely to happen

 No chance of happening

 Very little chance of happening

 As much chance of occurring as not

Very little change of happening

Chapter 4, Section 4.1, Problem 01d

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

P (A) =0.08

 No chance of happening

 An incorrect assignment

 As much chance of occurring as not

 Very likely to happen

Very little chance of happening

Chapter 4, Section 4.2, Problem 18

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

The probability =

Chapter 4, Section 4.2, Problem 20b

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 =

Chapter 4, Section 4.2, Problem 25a

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 8 2 4 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.

P(AB) =

Chapter 4, Section 4.2, Problem 25b

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 4 4 6 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.

P(A or B) =

Chapter 4, Section 4.2, Problem 25c

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 6 2 6 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.

1.         (Not O) =

Chapter 4, Section 4.3, Problem 42a

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

P(e1) = P(e2) = P(e3) = 0.14 P(e4) = P(e5) = 0.04

P(e6) = 0.2 P(e7) = 0.30

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

P(A) =

P(B) =

P(AB) =

Chapter 4, Section 4.3, Problem 42b

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

P(e1) = P(e2) = P(e3) = 0.14 P(e4) = P(e5) = 0.07

P(e6) = 0.3 P(e7) = 0.14

Suppose A = { e4 , e5 , e6 , e7 } , B = { e1 , e6 , e7 } . It can be calculated that P(A) = 0.58, P(B) = 0.58 and P(AB) = 0.44 .

Employ the laws of probability to calculate   and P(AB) .

P(AB) =

Chapter 4, Section 4.3, Problem 42b

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

P(e1) = P(e2) = P(e3) = 0.14 P(e4) = P(e5) = 0.07

P(e6) = 0.3 P(e7) = 0.14

Suppose A = { e4 , e5 , e6 , e7 } , B = { e1 , e6 , e7 } . It can be calculated that P(A) = 0.58, P(B) = 0.58 and P(AB) = 0.44 .

Employ the laws of probability to calculate   and P(AB) .

P(AB) =

Chapter 4, Section 4.4, Problem 59c

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(AB) .

P(AB) =

Chapter 5, Section 5.2, Problem 12a

Examine if the following is the legitimate probability distribution.

 x f(x) –3 0.4 3 0.6 8 0.4 9 0.1

Legitimate probability distribution?

Chapter 5, Section 5.5, Problem 61a

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

The probability is

Chapter 5, Section 5.5, Problem 65a

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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the absolute tolerance is +/-0.0001

Chapter 5, Section 5.5, Problem 61a

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

The probability is

Chapter 5, Section 5.5, Problem 65b

About 75% 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.

Chapter 5, Section 5.5, Problem 65c

About 75% 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.

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