Ch.7

Question 1

Random variable:

Answer 1

A function or rule that assigns a number to each outcome of an experiment

Question 2

Discrete random variable:

Answer 2

Values are countable, e.g. the number of courses, number of siblings, age (in years)

Question 3

Continuous random variable:

Answer 3

Values are uncountable – typically measured quantities, e.g. height, weight, time, speed

Question 4

Probability Distribution:

Answer 4

a table, formula, or graph that describes the values of a random variable and the probability associated with these values

Question 5

A discrete probability distribution has two components:

Answer 5

1.Each possible value of X is listed
2.The probability of each X occurring, P(x), is also listed

Question 6

The probability of each X occurring, P(x), is equal to the

Answer 6

frequency of that X, fx, divided by the total number of observations (n)

Question 7

Laws of Expected Value

Answer 7

1. E(c) = c
2. E(X + c) = E(X) + c
   also… E(X – c) = E(X) – c
3. E(cX) = cE(X)
   also… E(X/c) = (1/c)E(X)

Question 8

A Binomial Experiment is a special kind of discrete probability distribution with it’s own probability formula and tables. How do we know a question requires a binomial solution? It must satisfy the following conditions…