Explore BrainMass

Explore BrainMass

    Approximation of binomial to normal

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    The proportion of defective telephones manufactured on Mondays is 0.3. If a sample of 20 telephones is selected, what is the probability that 5 of the phones in the sample are defective? Use the normal distribution to approximate the binomial. Since this is a continuous distribution approximating a discrete distribution, use X values of 4.5 and 5.5. Show your work.
    _____
    μ = np and σ = √ npq

    © BrainMass Inc. brainmass.com December 24, 2021, 5:55 pm ad1c9bdddf
    https://brainmass.com/statistics/normal-distribution/approximation-binomial-normal-80376

    Solution Preview

    Using normal approximation we have

    μ = np = 20*0.3 = 6

    σ = √ npq = ...

    Solution Summary

    The approximation of binomial to normal functions are determined.

    $2.49

    ADVERTISEMENT