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Question 1 Select one answer. Dogs are inbred for such desirable characteristics as blue eye color,...

Question 1

Select one answer.

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 in The 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.

What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf?

  1. 0.31 * 0.38 = 0.1178
  2. 0.31 * 0.42 = 0.1302
  3. 0.38 * 0.42 = 0.1596
  4. 0.31/0.38 = 0.8158
  5. 0.31/0.42 = 0.7381
  6. 0.38/0.42 = 0.9048

Question 2

Select one answer.

Suppose that the handedness of the last 15 U.S. presidents is as follows:

(i)

40% were left-handed (L)

(ii)

47% were democrats (D)

(iii)

If a president is left-handed, there is a 13% chance that the president is a Democrat.

What is the probability that a randomly chosen U.S. president is left-handed and a democrat?

  1. 0.40 * 0.47 = 0.1880
  2. 0.40 * 0.13 = 0.0520
  3. 0.47 * 0.13 = 0.0611
  4. 0.40/0.47 = 0.8510
  5. 0.40/0.13 = 3.0769
  6. 0.47/0.13 = 3.6154

Question 3

Type numbers in the boxes.

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

• Of all the games, 64% were at-home games. Denote this by H (the remaining were away games).

• Of all the games, 25% were wins. Denote this by W (the remaining were losses).

• Of the at-home games, 32% of games were wins.

Of all the games, (_____???____)% of games were at-home wins. (Please round your answer to one decimal place.)

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