Explore BrainMass

Explore BrainMass

    Binomial and Normal distributions

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

    Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5.

    Find the probability that x = 2 using the binomial tables.

    Use the normal approximation to find the probability that x = 2

    © BrainMass Inc. brainmass.com June 3, 2020, 10:29 pm ad1c9bdddf

    Solution Preview

    a) Since X follows a Binomial distribution with parameters n = 15 and p = 0.5, the probability mass function of X is given by,
    P(X=x)= nCx p^x(1-p)^(n-x), x = 0, 1, ..., ...

    Solution Summary

    The solution contains the determination of a binomial probability using normal approximation (continuity correction).