Question

In a certain town, 42% of voters favor a given ballot measure. For groups of 30 voters, find the

variance for the number who favor the measure.

02.7

07.3

53.4

O 12.6

Answer 1

7.3 voters

Explanation:

This scenario follows a binomial distribution with the probability of success (voting in favor of the ballot) p =0.42, and the probability of failure (voting against the ballot), p-1 = 0.58. If the number of events is n=30. The variance is given by:

`V= n*p*(1-p)\\V= 30*0.42*(1-0.42)\\V=7.3\ voters`

The variance for the number who favor the measure is 7.3 voters.