Explore BrainMass

Explore BrainMass

    Probability and Logical Conclusion

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

    Please provide formulas and logical conclusions for each. Include step by step calculations for each.

    8. If the probability of having a boy is .47, find the following
    a. For families with 10 children
    i. The mean for the number of boys in a family
    ii. The standard deviation for the number of boys
    iii. The probability of having exactly 4 boys
    iv. The probability of having at least 4 girls
    b. What is the probability that the first girl would be the third born?
    c. Use the normal approximation to find the probability that in 200 births, less than 140 are boys.

    © BrainMass Inc. brainmass.com June 3, 2020, 10:29 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/probability-logical-conclusion-233518

    Solution Preview

    a.
    i.
    The above situation follows Binomial Distribution (10,0.47)
    Therefore Mean = np =10 * 0.47 = 4.7

    ii.
    Variance = npq = 10*0.47*0.53 = 2.491
    Standard Deviation = Sqrt(Variance) = 1.578

    iii.
    P(X = 4) = 10C4 * 0.474 * 0.536
    = 0.227125
    iv. P(X≥ 4 girls) = 1 ...

    Solution Summary

    In the following posting, probability and logical conclusions are analyzed for various scenarios. Step by step calculations are provided for each problem.

    $2.19

    ADVERTISEMENT