In a large city, 18,000 workers lost their jobs last year. Of them, 7900 lost their jobs because their companies closed down or moved, 4000 lost their jobs due to insufficient work, and the remainder lost their jobs because their positions were abolished.

a. If one of these 18,000 workers is selected at random, find the probability that this worker lost his or her job because the company closed down or moved. Round your answer to three decimal places.

The probability is Enter your answer in accordance to the question statement .

b. If one of these 18,000 workers is selected at random, find the probability that this worker lost his or her job due to insufficient work. Round your answer to three decimal places.

The probability is Enter your answer in accordance to the question statement .

c. If one of these 18,000 workers is selected at random, find the probability that this worker lost his or her job because the position was abolished. Round your answer to three decimal places.

The probability is Enter your answer in accordance to the question statement .

Do these probabilities add up to 1.0?

Select answer from the options below

Yes

No

2.A sample of 820 adults showed that 57 of them had no credit cards, 154 had one card each, 79 had two cards each, 33 had three cards each, 76 had four cards each, and 421 had five or more cards each. Suppose one adult is randomly selected from these 820 adults. Find the probability that this adult has exactly three credit cards.

Round your answer to two decimal places. ()=()= Enter your answer in accordance to the question statement

3.Seven hundred adults who eat ice cream regularly were asked about their favorite ice cream. The following table gives the two-way classification of their responses.

	Chocolate	Vanilla	Other
Men	96	83	121
Women	105	143	152

Give exact answers in fraction form.

a. If one adult is randomly selected from these 700 adults, find the probability that this adult

i. likes chocolate ice cream.

Probability = Enter you answer in accordance to the item a) i) of the question statement .

ii. is a woman.

Probability = Enter you answer in accordance to the item a) ii) of the question statement .

iii. likes vanilla ice cream given that this adult is a woman.

Probability = Enter you answer in accordance to the item a) iii) of the question statement .

iv. is a man given that this adult likes chocolate ice cream.

Probability = Enter you answer in accordance to the item a) iv) of the question statement .

b. Are events men and vanilla ice cream mutually exclusive? Choose your answer; Are events men and vanilla ice cream mutually exclusive? Yes.No.

What about chocolate ice cream and vanilla ice cream? Choose your answer; Are events chocolate ice cream and vanilla ice cream mutually exclusive? Yes.No.

c. Are events women and chocolate ice cream independent? Choose your answer; Are events women and chocolate ice cream independent? Yes.No.

4.Define the following two events for two tosses of a coin:

A: at least one head is obtained

B: both tails are obtained

Are A and B complementary events? Choose your answer; Are A and B complementary events? noyes

If yes, first calculate the probability of B and then calculate the probability of A using the complementary event rule. Otherwise, input "NA" for both probabilities.

()=()= Enter you answer; P(B)

()=()= Enter you answer; P(A)

5.Six percent of all items sold by a mail-order company are returned by customers for a refund. Find the probability that, of two items sold during a given hour by this company, neither will be returned for a refund.

Enter the exact answer.

6.The probability that any given person is allergic to a certain drug is 0.07. What is the probability that none of three randomly selected persons is allergic to this drug? Assume that all three persons are independent.

Enter the exact answer.

7.A random sample of 80 lawyers was taken, and they were asked if they are in favor of or against capital punishment. The following table gives the two-way classification of their responses.

		Favors Capital Punishment		Opposes Capital Punishment
Male		33		24
Female		13		10

Round your answers to 4 decimal places.

a. If one lawyer is randomly selected from this group, find the probability that this lawyer

i. favors capital punishment

ii. is a female

iii. opposes capital punishment given that the lawyer is a female

iv. is a male given that he favors capital punishment

v. is a female and favors capital punishment

vi. opposes capital punishment or is a male

b. Are the events female and opposes capital punishment independent?

Yes.No.

Are they mutually exclusive?

Yes.No.

8.Twenty percent of a town's voters favor letting a major discount store move into their neighborhood, 62% are against it, and 18% are indifferent. What is the probability that a randomly selected voter from this town will either be against it or be indifferent?

Probability = Enter your answer in accordance to the question statement