Question: 3. Using the binomial distribution. A Student Senate at a large university is made up of 60 students chosen to represent the entire student body.

student body. 20% of the students at this university are minorities. When

the members of the senate are selected, only two members are minority

3. Using the binomial distribution. A Student Senate at a large university is made up of 60 students chosen to represent the entire student body. 20% of the students at this university are minorities. When the members of the senate are selected, only two members are minority students. The Minority Caucus claims that this Senate is racially biased. They decide to use statistics to support their claim. Let x be the number of minority students who are selected for the senate. Assume the binomial probability can be used as the university has a large student population (large enough to assume independence when sampling students) What is n?What is p? Calculate the probability of the Senate being made up of so few minority students purely by chance. That is, find P(x

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