Statistics Assignment need to solve it

Assignment Homework – Chapter 4

What is the formula to find the number of Combinations of N objects taken n at a time?

What is the formula to find the number of Permutations of N objects taken n at a time?

How are “combinations” different from “permutations”?

What are the 3 ways to assign probabilities?

How do you calculate probabilities using the Classical Method?

How do you calculate probabilities using the Relative Frequency Method?

An event is a collection of sample points. The probability of an event is equal to the sum of the probabilities of the sample points in the event.

Define the following (you can use drawings if it helps):

· Compliment of an event

· Union of Two events

· Intersection of two events

· Mutually exclusive events

What is the addition law when computing the probability of an event A, or B, or both A and B occurring.

What is the addition law for computing mutually exclusive events?

What is the formula for computing the “Conditional Probability” of A given B.

What is the multiplication law for computing the intersection of two events?

How can the multiplication law be used to test to see if two events are independent?

Define the following:

· Marginal Probability

· Joint Probability

· Conditional Probability