1.Yearly, students are invited to membership in the honor society for your major if their class rank is at least in the 90^thpercentile for all students in that major.In 2019 you ranked 78 out of 1456 students in your major. Will you be invited to membership?

1.A city council consists of ten members.Four are Democrats and six are Republicans A committee of five to study transportation issues will be randomly selected.

a.If one person on the council is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a Democrat?

b.How many ways can the committee be formed if there are no restrictions on composition?

c.How many ways can 3 Republicans be chosen?

d.How many ways can 2 Democrats be chosen?

What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats