Statistics with Probability

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  • #13260

    Ezra Halleck
    Participant

    A shipment of parts contains 40 items of which 5 are defective. Ten of these items are randomly chosen and inspected. Let X denote number that are defective. Let be the random variable that is 1 if the ith part selected is defective and 0 otherwise. Note that .
    a) Find expressions for probability distribution of X (leave as a product and/or ratio of binomial coefficients).
    b) Expand the probability for your first outcome so that it is product and/or ratio of integers.
    c) Write the Excel command to find probability for your first outcome.
    d) Find the distribution and expectation for .
    e) Use part d) and the fact that expectation distributes over a sum regardless of independence to find E[X].
    f) Expectation is a measure of a distribution’s center. In light of your calculation from e), discuss the graph of X. Is it symmetric? skewed? If so, in which direction?

    #16818

    See the attached file for solution

    #16847

    Professor, can you post a solution to this particular question? It’s a bit confusing, perhaps i’m missing something.

    #16851

    leyla
    Participant

    for b) i did (35 nCr 10)/(40nCr10) and got the .21658 you get from when you do it on excel.

    #16858

    Okay, I see what I was doing wrong.

    #16894

    Ruslan did it correctly, not sure about B though. I believe leyla is right.

    #16899

    fladmer911
    Member

    that’s what I got

    #16947

    ALOYSIUS ROBERTS
    Participant

    Yes! keep trying.

    #16951

    ALOYSIUS ROBERTS
    Participant

    DATA INFORMATION

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