math

Question 1

"Counting Principles" Please respond to the following:

· Compare and contrast permutations and distinguishable permutations.

· State the fundamental counting principle and explain it in your own words, providing an example.

· Explain the difference between a permutation and a combination. Provide a  specific  example of each.

Question 2

"Probability" Please respond to the following:

· Provide one specific example to show how you can use the Expected Value computation to assess the fairness of a game (probability experiment). Provide the steps and calculations.  My advice is to keep the game simple!

· Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Discuss the purpose of using such a visual in working out probability.

Question 3

"Statistics" Please respond to the following:

· You and three of your friends decide to take the same chemistry class together at the local university along with 21 other students (25 students total in the class). On the first day of class, the professor indicates that this class is graded on a bell-shaped curve.

· Explain in your own words what grading on a bell-shape curve means in this college chemistry class (make sure to read the textbook pages 686 and 687 before you respond!).

· Determine if it is possible for you and your friends to all earn an A in this course if the instructor “grades on a curve”. Explain your answer by using the exact number of students to receive an A, B, C, D and F.

· Do you think this is a fair method of grading?  Why or why not?

MATHEMATICS