Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution 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.
18% of the students are in favor of changing the dress code.
This means that
You randomly select 15 students
This means that
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is
In which
In which
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.