# Binomial and Normal distributions

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 ad1c9bdddfhttps://brainmass.com/statistics/probability/binomial-and-normal-distributions-233831

#### 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).

$2.19