Mathematics Homework Help

I’m stuck on a Statistics question and need an explanation.

Q1/ The table below shows the results from the Student Data Survey regarding home residence with regard to class year status. Underclassman means first year or sophomore; upperclassman means junior or senior.

	Underclassman	Upperclassman
From Florida	7	2
From state other than FL	5	2
International	1	1

Suppose that one student is chosen at random from the class. Based on the table above, find the probability that the student is……. (Note: please leave answers as fractions reduced to lowest terms).

a. from Florida

b. from Florida and an upperclassman

c. from Florida or an upperclassman

d. from Florida, given that the student is an upperclassman

Q2/ The last question on the Student Data Survey asked you to flip a coin 10 times and record the number of heads you got.

a. If you flip a coin one time, what is the probability of heads?

b. If you flip a coin 10 times, based on the theoretical probability in part a, how many heads would you expect?

c. Here are the results from the Survey: 7 6 5 4 6 4 6 4 6 6 4 7 6 4 6 5 4 6 . What is the mean number of heads recorded, based on this experiment?

Q3/ In statistics, a binomial experiment is one which can have only two outcomes. Flipping a coin one time is binomial, since there are only two outcomes – heads or tails.

Which of these variables from the Student Data Survey are binomial?

a. do you live in campus-owned housing?

b. what color are your eyes?

c. What is your class year?