1.Suppose a basketball team had a season of games with the following characteristics:

Of all the games, 60% wereat-homegames. Denote this byH(the remaining wereawaygames).

Of all the games, 25% werewins. Denote this byW(the remaining werelosses).

Of all the games, 20% were at-home wins.

Of theat-home games, we are interested in finding what proportion were wins. Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?

1. P(H)
2. P(W)
3. P(H and W)
4. P(H | W)
5. P(W | H)

Question 2

Select one answer.

10 points

Suppose your friends have the following ice cream preferences:

42% of your friends like chocolate (C). The remaining do not like chocolate.

28% of your friends like sprinkles (S) topping. The remaining do not like sprinkles.

21% of your friends like Chocolate (C) and also like sprinkles (S).

Of the friends who like sprinkles, what proportion of this group likes chocolate? (Note: Answers are rounded to four decimal places.)

1. 0.0588
2. 0.1176
3. 0.5
4. 0.6667
5. 0.75

Question 3

Select one answer.

10 points

Suppose a basketball team had a season of games with the following characteristics:

Of all the games, 60% wereat-homegames. Denote this byH(the remaining wereawaygames).

Of all the games, 25% owerewins. Denote this byW(the remaining werelosses).

Of all the games, 20% were at-home wins.

If the team won a game, how likely is it that this was a home game? (Note: Some answers are rounded to 2 decimal places.)

1. 0.05
2. 0.12
3. 0.15
4. 0.42
5. 0.80

Question 4

Select one answer.

10 points

Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported inThe Dalmatians Dilemma) found the following:

(i)	31% of all Dalmatians have blue eyes.
(ii)	38% of all Dalmatians are deaf.
(iii)	If a Dalmatian has blue eyes, there is a 42% chance that it is deaf.

Based on the results of this study is "having blue eyes" independent of "being deaf"?

1. No, since 0.38 is not equal to 0.42.
2. Yes, since 0.38 is not equal to 0.42.
3. No, since 0.31 is not equal to 0.42.
4. Yes, since 0.31 * 0.38 is not equal to 0.42.

Question 5

Type numbers in the boxes.

10 points

If P(A) = 0.45, P(B) = 0.85, and P(A and B) = 0.23, then P(A|B) = .

(Please round to two decimal places.)

Question 6

Type numbers in the boxes.

10 points

If P(A) = 0.5, P(B) = 0.37, and P(A or B) = 0.59, then P(A|B) = .

(Please round to two decimal places.)

Question 7

Type numbers in the boxes.

Part 1:10 points

Part 2:10 points

Part 3:10 points

30 points

A hair salon surveyed 235 customers (154 females and 81 males) to see if they are satisfied with the service. The result is summarized in the following table.

	Satisfied	Not Satisfied	Total
Female	151	3	154
Male	80	1	81
Total	231	4	235

1. If a customer is randomly selected from these 235 people, the probability that he/she is satisfied is .

(Please round your answer to two decimal places.)

2. If we know the selected customer is a female, then what is the probability that she is satisfied?

(Please round your answer to two decimal positions.)

P(satisfied|female) =

3. How about the probability that a randomly selected customer is a female if we know that the person is satisfied?

(Please round your answer to two decimal positions.)

P(female|satisfied) =

Question 8

Select one answer.

10 points

At a dental office, the probability a patient needs a cleaning is 0.75. The probability a patient needs a filling is 0.38. Assuming the events "needs a cleaning" and "needs a filling" are independent, then what is the probability a patient needs a filling given that he/she needs a cleaning?

1. 0.75
2. 0.29
3. 0.38
4. 0.63
5. Additional information is required to determine the probability.

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