Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be the emergence

Question

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. Based on the results of this study is “having blue eyes” independent of “being deaf”(a) No, since .31 * .38 is not equal to .42.(b) No, since .38 is not equal to .42.(c) No, since .31 is not equal to .42.(d) Yes, since .31 * .38 is not equal to .42.(e) Yes, since .38 is not equal to .42.

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Caroline 3 weeks 2021-11-18T11:14:07+00:00 1 Answer 0 views 0

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    2021-11-18T11:15:41+00:00

    Answer:

    Option 2 is the right answer.

    Step-by-step explanation:

    We need to check if the two characteristics, having blue eyes and being deaf are independent of each other or not.

    The above two characteristics will be independent if [Probability of being deaf with blue eyes] = {Probability of being deaf } {Probability of having blue eyes}

    Now, the probability of having blue eyes is \frac{31}{100}.

    The probability that the Dalmatians will be deaf is \frac{38}{100}.

    The probability of being deaf with blue eyes is \frac{31}{100} \times\frac{42}{100}.

    Since, 38 is not equals to 42, the two characteristics are not independent.

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