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11 August, 00:12

A study was conducted on the weights of newborn piglets. The weights were normally distributed with a mean μ = 0.76 kg and standard deviation σ = 0.18 kg. If the study involved 5,000 piglets, how many of them weighed more than 0.94 kg? A. 800 B. 600 C. 2500 D. 4200

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  1. 11 August, 02:02
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    A. 800

    Step-by-step explanation:

    Let the random variable X denote the weight of newborn piglets. We first determine the probability that X is greater than 0.94;

    Pr (X>0.94)

    We apply the standard normal transformation;

    Z = (X-μ) / σ

    Pr (X>0.94) = Pr (Z> (0.94-0.76) / 0.18)

    = Pr (Z>1)

    = 0.1587, from the standard normal tables

    To determine the number that weighed more than 0.94 kg, we simply multiply this probability with the number 5000;

    5000*0.1587 = 793.5 which is close to 800
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