The Republican party is interested in studying the number of Republicans that might vote in a particular Congressional district. Assume that the number of voters is binomially distributed by party affiliation (either Republican or not Republican).

If ten people show up at the polls, determine the following:

Binomial distribution

10 n

0.5 p

X P(X) cumulative probability

0 0.00098 0.00098

1 0.00977 0.01074

2 0.04395 0.05469

3 0.11719 0.17188

4 0.20508 0.37695

5 0.24609 0.62305

6 0.20508 0.82813

7 0.11719 0.94531

8 0.04395 0.98926

9 0.00977 0.99902

10 0.00098 1.00000

What is the probability that no more than 4 will be Republicans?

Select the correct response below:

38%

12%

21%

62%