Question 1

Marital Status
An insurance company has collected the following data on the gender and marital status of 570 customers.

suppose that a customer is selected at random.
-{Marital Status Narrative} Find the probability that the customer selected is female or divorced.

Accepted Answer

The answer of Marital Status
An insurance company has collected the...

Question 2

Suppose A and B are two independent events for which P(A)= 0.20 and P(B)= 0.60.
a.Find P(A and B).
b.Find P(A or B).

Accepted Answer

The answer of Suppose A and B are two independent...

Question 3

College Professorship ​ 
A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B,she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A,and let B = receiving an offer from college B. ​ ​
-{College Professorship Narrative} What is the probability that at least one college will make her an offer?

Accepted Answer

The answer of College Professorship ​ 
A Ph.D.graduate has applied...

Question 4

College Professorship ​ 
A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B,she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A,and let B = receiving an offer from college B. ​ ​
-{College Professorship Narrative} What is the probability that both colleges will make her an offer?

Accepted Answer

The answer of College Professorship ​ 
A Ph.D.graduate has applied...

Question 5

If two events are complements,their probabilities sum to ____________________.

Accepted Answer

The answer of If two events are complements,their probabilities sum...

Question 6

College Professorship ​ 
A Ph.D.graduate has applied for a job with two colleges: A and B.The graduate feels that she has a 60% chance of receiving an offer from college A and a 50% chance of receiving an offer from college B.If she receives an offer from college B,she believes that she has an 80% chance of receiving an offer from college A.Let A = receiving an offer from college A,and let B = receiving an offer from college B. ​ ​
-{College Professorship Narrative} If she receives an offer from college B,what is the probability that she will not receive an offer from college A?

Accepted Answer

The answer of College Professorship ​ 
A Ph.D.graduate has applied...

Question 7

If two events are mutually exclusive their joint probability is ____________________.

Accepted Answer

The answer of If two events are mutually exclusive their...

Question 8

Suppose P(A)= 0.30,P(B)= 0.50,and P(B|A)= 0.60.
a.Find P(A and B).
b.Find P(A or B).
c.Find P(A|B).

Accepted Answer

The answer of Suppose P(A)= 0.30,P(B)= 0.50,and P(B|A)= 0.60.
a.Find P(A...

Question 9

The second set of branches of a probability tree represent ____________________ probabilities.

Accepted Answer

The answer of The second set of branches of a...

Question 10

Marital Status
An insurance company has collected the following data on the gender and marital status of 570 customers.

suppose that a customer is selected at random.
-{Marital Status Narrative} Is marital status independent of gender? Explain using probabilities.

Accepted Answer

The answer of Marital Status
An insurance company has collected the...

Question 11

Suppose P(A)= 0.50,P(B)= 0.40,and P(B|A)= 0.30.
a.Find P(A and B).
b.Find P(A or B).
c.Find P(A|B).

Accepted Answer

The answer of Suppose P(A)= 0.50,P(B)= 0.40,and P(B|A)= 0.30.
a.Find P(A...

Question 12

Marital Status
An insurance company has collected the following data on the gender and marital status of 570 customers.

suppose that a customer is selected at random.
-{Marital Status Narrative} Are gender and marital status mutually exclusive? Explain using probabilities.

Accepted Answer

The answer of Marital Status
An insurance company has collected the...

Question 13

Is it possible to have two events for which P(A)= 0.40,P(B)= 0.50,and P(A or B)= 0.30? Explain.

Accepted Answer

The answer of Is it possible to have two events...

Question 14

A pharmaceutical firm has discovered a new diagnostic test for a certain disease that has infected 1% of the population.The firm has announced that 95% of those infected will show a positive test result,while 98% of those not infected will show a negative test result.
a.What proportion of people don't have the disease?
b.What proportion who have the disease test negative?
c.What proportion of those who don't have the disease test positive?
d.What proportion of test results are incorrect?
e.What proportion of test results are correct?

Accepted Answer

The answer of A pharmaceutical firm has discovered a new...

Question 15

Construction Bids ​ 
A construction company has submitted bids on two separate state contracts,A and B.The company feels that it has a 60% chance of winning contract A,and a 50% chance of winning contract B.Furthermore,the company believes that it has an 80% chance of winning contract A if it wins contract B. ​ ​
-{Construction Bids Narrative} What is the probability that the company will win both contracts?

Accepted Answer

The answer of Construction Bids ​ 
A construction company has...

Question 16

If A and B are ____________________ then the probability of the union of A and B is the sum of their individual probabilities.

Accepted Answer

The answer of If A and B are ____________________ then...

Question 17

When you multiply a first level branch with a second level branch on a probability tree you get a(n)____________________ probability.

Accepted Answer

The answer of When you multiply a first level branch...

Question 18

The first set of branches of a probability tree represent ____________________ probabilities.

Accepted Answer

The answer of The first set of branches of a...

Question 19

A survey of a magazine's subscribers indicates that 50% own a house,80% own a car,and 90% of the homeowners also own a car.What proportion of subscribers:
a.own both a car and a house?
b.own a car or a house,or both?
c.own neither a car nor a house?

Accepted Answer

The answer of A survey of a magazine's subscribers indicates...

Question 20

Suppose A and B are two mutually exclusive events for which P(A)= 0.30 and P(B)= 0.40.
a.Find P(A and B).
b.Find P(A or B).
c.Are A and B independent events? Explain using probabilities.

Accepted Answer

The answer of Suppose A and B are two mutually...

Quiz 6: Probability

Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers. suppose that a customer is selected at random. -{Marital Status Narrative} Find the probability that the customer selected is female or divorced.

Suppose A and B are two independent events for which P(A)= 0.20 and P(B)= 0.60. a.Find P(A and B). b.Find P(A or B).

If two events are complements,their probabilities sum to ____________________.

If two events are mutually exclusive their joint probability is ____________________.

Suppose P(A)= 0.30,P(B)= 0.50,and P(B|A)= 0.60. a.Find P(A and B). b.Find P(A or B). c.Find P(A|B).

The second set of branches of a probability tree represent ____________________ probabilities.

Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers. suppose that a customer is selected at random. -{Marital Status Narrative} Is marital status independent of gender? Explain using probabilities.

Suppose P(A)= 0.50,P(B)= 0.40,and P(B|A)= 0.30. a.Find P(A and B). b.Find P(A or B). c.Find P(A|B).

Marital Status An insurance company has collected the following data on the gender and marital status of 570 customers. suppose that a customer is selected at random. -{Marital Status Narrative} Are gender and marital status mutually exclusive? Explain using probabilities.

Is it possible to have two events for which P(A)= 0.40,P(B)= 0.50,and P(A or B)= 0.30? Explain.

If A and B are ____________________ then the probability of the union of A and B is the sum of their individual probabilities.

When you multiply a first level branch with a second level branch on a probability tree you get a(n)____________________ probability.

The first set of branches of a probability tree represent ____________________ probabilities.

A survey of a magazine's subscribers indicates that 50% own a house,80% own a car,and 90% of the homeowners also own a car.What proportion of subscribers: a.own both a car and a house? b.own a car or a house,or both? c.own neither a car nor a house?

Suppose A and B are two mutually exclusive events for which P(A)= 0.30 and P(B)= 0.40. a.Find P(A and B). b.Find P(A or B). c.Are A and B independent events? Explain using probabilities.