Explore BrainMass

Explore BrainMass

    Random Variables - The Variance

    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!

    10 equally qualified applicants; six men and four women apply for three lab technician positions. Unable to justify choosing any of the applicants over all the others, the personnel director decides to select the three at random. Let X denote the number of men hired. Compute the standard deviation of X

    © BrainMass Inc. brainmass.com November 24, 2022, 11:37 am ad1c9bdddf

    Solution Preview

    probability of selecting no man = p(0) = 6C0 * 4C3/10C3
    here, nCr = n!/(r!*(n-r)!)
    => p(0) = 1*4*(1*2*3)/(10*9*8) = 0.033
    p(1) = 6C1*4C2/10C3 = ...

    Solution Summary

    The random variables and the variances are computed. The applicants of three lab technician positions are examined. The solution answers the question(s) below.