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Thread: Marriage Probability

  1. #1
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    Marriage Probability

    Somebody plase help me on this....
    A journal polled its readers to determine the proportion of wives who, if given a second chance, would marry their husband. According to the responses from the survey, 60% of wives would marry their husbands again. Suppose a random and independent sample of 6 wives was collected. Find the probability that at most 5 of the wives sampled said they would marry their husbands again.

    Thanks....
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  2. #2
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    Hello Allenge
    Quote Originally Posted by Allenge View Post
    Somebody plase help me on this....
    A journal polled its readers to determine the proportion of wives who, if given a second chance, would marry their husband. According to the responses from the survey, 60% of wives would marry their husbands again. Suppose a random and independent sample of 6 wives was collected. Find the probability that at most 5 of the wives sampled said they would marry their husbands again.

    Thanks....
    The probability that any one of the wives chosen and interviewed at random would marry their husband again is $\displaystyle 0.6$. So the probability that all six would do so is $\displaystyle (0.6)^6$. So the probability that at most 5 would do so is $\displaystyle 1 - (0.6)^6 = 0.953$ (3 d.p.)

    Grandad
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