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8 June, 04:40

Birth weights of full-term babies in a certain area are normally distributed with mean 7.13 pounds and standard deviation 1.29 pounds. A newborn weighing 5.5 pounds or less is a low-weight baby. What is the probability that a randomly selected newborn is low-weight? Do not round, and do not convert the probability as a percentage.

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  1. 8 June, 05:10
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    Step-by-step explanation:

    Birth weights of full term babies are normally distributed with mean 7.13 pounds and standard deviation 1.29 pounds. Using normal distribution,

    z = (x - μ) / σ

    Where μ = mean

    σ = standard deviation.

    x = Birth weights of full term babies

    From the information given,

    μ = 7.13

    σ = 1.29

    x = 5.5

    the probability that a randomly selected newborn is low-weight means that the newborn is weighing 5.5 pounds or less.

    For P (x lesser than or equal to 55),

    Z = (5.5-7.13) / 1.29 = - 1.63 / 1.29 = - 1.263

    From the normal distribution table, the value of z = - 1.263 = 0.1038

    P (x lesser than or equal to 55) = 0.104
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