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25 August, 23:15

Your company is producing special battery packs for the most popular toy during the holiday season. The life span of the battery pack is known to be Normally distributed with a mean of 250 hours and a standard deviation of 20 hours. What percentage of battery packs lasts longer than 260 hours

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  1. 26 August, 02:45
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    Step-by-step explanation:

    Since the life span of the battery pack is known to be Normally distributed, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    x = life spans of battery packs.

    µ = mean life span

    σ = standard deviation

    From the information given,

    µ = 250 hours

    σ = 20 hours

    The probability that a battery pack lasts longer than 260 hours. It is expressed as

    P (x > 260) = 1 - P (x ≤ 260)

    For x = 260

    z = (260 - 250) / 20 = 0.5

    Looking at the normal distribution table, the probability corresponding to the z score is 0.69

    The percentage of battery packs that lasts longer than 260 hours is

    0.69 * 100 = 69%
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