Question 1 Dogs are inbred for such desirable characteristics as blue eye color,

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Question 1 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: a) | 31% of all Dalmatians have blue eyes. (ii) | 38% of all Dalmatians are deaf. 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? A. .31o.38 0.1178 B. O 0.31" o-42-0.1302 c. O 0.38" 0.42 0.1596 D. O0.31/o-38-0.8158 E. O 0.31/o.42 0.7381 F. Oo.38/o-42 o.9048 Question 2 Suppose that the handedness of the last 15 US presidents is as follows: (i) | 40% were left-handed (L) (ii) | 47% were democrats (D) If a president is left-handed, there is a 13% chance that the (iii) president is a Democrat. What is the probability that a randomly chosen U.S. president is left-handed and a democrat? A. O 0.40' 0.47 0.1880 B. O 0.40 . 0.13-0.0520 C O 0.47 * 0.13-0.0611 D. O 0.40/047. 0.8510 E O0.40/0.13-3.0769 F. 0.47/o.13 3.6154

Explanation / Answer

Ans:

1)

P(blue eyes)=0.31

P(deaf)=0.38

P(deaf/blue eyes)=0.42

Now,

P(blue eyes and deaf)=P(deaf/blue eyes)*P(blue eyes)=0.42*0.31=0.1302

6)

P(left handed)=0.40

P(democrats)=0.47

P(democrat/left handed)=0.13

Now,

P(left handed and democrat)=P(democrat/left handed)*P(left handed)=0.13*0.40=0.0520

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