Imagine that you are the manager of an engineering department that processes requests for quotations for new designs. Your past experience i

Question

Imagine that you are the manager of an engineering department that processes requests for quotations for new designs. Your past experience indicates that you receive 7 requests per month. What is the probability that you will receive more than 4 requests next month? The average time it takes one of your engineers to process such a request is 30 hours, with a range of 20 to 60. How many engineers should you have to be able to complete at least 90% of the work each month (everyone works 160 hours per month)?

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Delilah 3 weeks 2022-01-06T04:26:19+00:00 1 Answer 0 views 0

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    2022-01-06T04:27:33+00:00

    Answer:

    Step-by-step explanation:

    Requests for quotations is governed by poisson distribution .

    P(x>4) = 1 – P(<4)

    = 1 – .172992

    = .8270

    To find out time required to process the request we proceed as follows

    average time taken = 30 hours

    range of time required 20 to 60 = 40

    standard deviation σ = 40 / 4 ( Range rule of Thumb)

    = 10

    Margin of error = 90%

    So  α = .05

    z = 1.96 ( normal distribution )

    E² = ( Z_α /2)² σ ² / n

    (.90)² = (1.96)² x 10² / n

    n = 474

    required no = 474

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