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12 November, 05:55

Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations. What is the probability that the sample mean is 9 or larger

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  1. 12 November, 06:12
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    probability = 2/3

    Step-by-step explanation:

    given data

    population with 3 observations = 6, 10 and 12

    solution

    Sample space of select 2 number without a replacement will be as

    Sample space = { (6,10), (6,12), (10,12) }

    so here in two cases is = (6,12), (10,12)

    that is mean is greater than or equal to 9 (9 and 11 respectively)

    so we can say probability is = 2/3

    probability = 2/3
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