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A study of hearing impairments in dogs examined eye color (blue versus brown) an

ID: 3208426 • Letter: A

Question

A study of hearing impairments in dogs examined eye color (blue versus brown) and hearing impairment (some versus none) in a very large number of Dalmatian dogs. The study found that 66% of the Dalmatians have brown eyes and no hearing impairment; 23% have brown eyes and some hearing impairment; and 5% have blue eyes and some hearing impairment.

What percent of Dalmatian dogs have blue eyes? 5%

5%

6%

11%

28%

34%

73%

95%

What is the probability that a randomly chosen Dalmatian has some hearing impairment if you know that the dog has blue eyes? 0.18

.05

.18

.34

.45

.5

.66

.83

.95

* put my answers in bold

Explanation / Answer

From the given data,

Since Total percentage 100%

The percentage of Dalmatian dogs have blue eyes is 11%

Correct Answer OPtion (C) 11%

b)  The probability that a randomly chosen Dalmatian has some hearing impairment if you know that the dog has blue eyes

P(some hearing/blue eyes) = P(some hearing and blue eyes) / P(blue eyes)

= 5% / 11% = 0.45

Correct Answer: Option (D) 0.45

Hearing None Some Total Eye Brown 66% 23% 89% Blue 6% 5% 11% Total 72% 28% 100%