# Normal Approximation to Binomial Distribution

Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement income. In a random sample of 120 households, what is the probability that greater than 20 households but less than 35 households receive a retirement income?

© BrainMass Inc. brainmass.com June 4, 2020, 2:10 am ad1c9bdddfhttps://brainmass.com/statistics/probability/normal-approximation-binomial-distribution-retirement-income-443320

#### Solution Summary

The solution provides step-by-step method for the calculation of probability using the Z score. Formula for the calculation and interpretations of the results are also included.

$2.19