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30 August, 14:20

The time required to complete a project is normally distributed with a mean of 80 weeks and a standard deviation of 10 weeks. The construction company must pay a penalty if the project is not finished by the due date in the contract. If a construction company bidding on this contract wishes to be 90 percent sure of finishing by the due date, what due date (project week #) should be negotiated?

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  1. 30 August, 15:13
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    Answer: the due date would be 92 weeks

    Step-by-step explanation:

    Since the time required to complete a project is normally distributed, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    x = number of weeks.

    µ = mean

    σ = standard deviation

    From the information given,

    µ = 80 weeks

    σ = 10 weeks

    If a construction company bidding on this contract wishes to be 90 percent sure of finishing by the due date, the z score corresponding to 90% (90/100 = 0.9) is 1.29

    Therefore,

    1.29 = (x - 80) / 10

    x - 80 = 1.2 * 10

    x - 80 = 12

    x = 80 + 12 = 92
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