Answer:
0.0479 = 4.79% probability that fewer than 11 of them will vote
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
70% of all eligible voters will vote in the next presidential election.
This means that
20 eligible voters were randomly selected from the population of all eligible voters.
This means that
What is the probability that fewer than 11 of them will vote?
This is:
In which
The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then
0.0479 = 4.79% probability that fewer than 11 of them will vote