Mathematics Homework Help

I’m trying to learn for my Algebra class and I’m stuck. Can you help?

Part 1 focuses on percentiles and statistical measures of average

You decide to invest in stock in a particular type of company and set the guideline that you will only buy stock in companies that are ranked in the 80th percentile or above in terms of dividends paid in the previous year. You are looking at a company that ranked 20 of 150 companies that paid dividends in 2019.

a. Will this company qualify for your portfolio?

b. If you had the data on the total dividends paid by each of the 150 companies, which measure of average would be the most meaningful – mean, median, midrange, or mode? Explain

Part 2 focuses on counting techniques and probability.

A student – faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers.

a. If one person from the group of volunteers is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a student?

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

c. How many ways can two of the students be chosen?

d. How many ways can 2 faculty be chosen?

e. What is the probability that the random selection of the four- person committee will result in two students and two faculty

Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations