2.1

Question 1

What is a random variable?

Answer 1

It is a number of values that are associated with a set of random outcomes from an experiment.

Question 2

What is a discrete random variable?

Answer 2

The numbers that correspond to the outcomes of an experiment however they are counting values.

Question 3

What is a continuous random variable?

Answer 3

The numbers that correspond to the outcomes of an experiment however they account for infinite events.

Question 4

What is a probability distribution table/graph?

Answer 4

This is a means to represent the random variables as X and the probability as P(X). For a graph the random variables would be present on the x-axis while the probability is present on the y-axis.

Question 5

What is a left-skewed graph?

Answer 5

This is when the tail of the graph is to the left.

Question 6

What is a right-skewed graph?

Answer 6

This is when the tail of the graph is to the right.

Question 7

What is a symmetric graph?

Answer 7

If the values of the graph distribute evenly about the middle of the graph.

Question 8

What is the mean or expected value?

Answer 8

This is the average value of a series of events in an experiment.

Question 9

What is variance?

Answer 9

This is the measure of the distribution, dispersion, or spread of the values in the graph.

Question 10

What is standard deviation?

Answer 10

This is another measure of the variability of X.

Question 11

What is a linear transformation?

Answer 11

An experiment that is represented by the Y=mX+b formula.

Question 12

What are the rules of finding the expectations and variance of linear transformation?

Answer 12

1. ) E(aX) = aE(X)
2. ) E(X+a) = E(X) +E(a)
3. ) VAR(aX) = a^2VAR(X)
4. ) VAR(X+a) = VAR(X)
5. ) E(a) = 0
6. ) VAR(a) = 0