Explore BrainMass

Explore BrainMass

    Simple Probability

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

    A factory finds,on average, 20% of the widgets produced by a given machine will be defective for certain specified requirements. If 10 widgets are selected at random from the day's production of this machine, find the probability:

    a.) That exactly 2 will be defective
    b.) That 2 or more will be defective
    c.) That more than 5 will be defective

    © BrainMass Inc. brainmass.com June 3, 2020, 5:17 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/simple-probability-20277

    Solution Preview

    Probability of defective item = p = 0.2
    Probability of non defective = q = 1 - 0.2 = 0.8

    a.)
    Probability of exactly two defective widgets,
    P= (10C2)*p^2*q^8
    =>P = (10*9/2)*(0.2)^2 * (0.8)^8
    => P= 0.301989888
    => P== 0.302 --Answer

    b.)
    Probability of 2 ...

    Solution Summary

    The solution answers the question(s) below.

    $2.19

    ADVERTISEMENT