Explore BrainMass

Explore BrainMass

    Poisson approximation to binomial distribution

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

    In a large town, one person in 80, on the average, has blood of type X.

    a)If 200 blood donors are taken at random, find an approximation to the probability that they include at least five persons having blood of type X.

    b)How many donors must be taken at random in order that the probability of including at least one donor of type X shall be 0.9 or more?

    © BrainMass Inc. brainmass.com June 3, 2020, 5:00 pm ad1c9bdddf
    https://brainmass.com/statistics/probability/poisson-approximation-binomial-distribution-10703

    Solution Preview

    a) Let X be the number of blood donors of type X, where X~Bin(200, 1/80)

    Since n=200 is large, p=1/80 is small such that ...

    Solution Summary

    In a large town, one person in 80, on the average, has blood of type X.

    a)If 200 blood donors are taken at random, find an approximation to the probability that they include at least five persons having blood of type X.

    b)How many donors must be taken at random in order that the probability of including at least one donor of type X shall be 0.9 or more?

    $2.19

    ADVERTISEMENT