Random Variables

State why the example does or does not describe a random variable.

The letters "A", "B", "C", "D", "E", and "F" are written on six slips of paper, and the slips are placed into a hat. Assign A = 1, B = 2, C = 3, D = 4, E = 5 , and F = 6. S is the random selection of a slip of paper.

State why the example does or does not describe a random variable.

Label five slips of paper as A, B, C, D, and E. S is the random selection of a slip of paper.

A random variable is defined by a rule that assigns a _______________ to every outcome in a sample space.

A couple has four children. Let "b" = the number of boys they have. What are the possible outcomes of "b"?

Assume the “student” in the situation is chosen at random, and state whether the variable is discrete or continuous.

• The number of books the student has in his or her bag.

A point is randomly selected from the interior of a square. Let x denote the distance from the lower left-hand corner A of the square to the selected point. Are the possible values of x a discrete or continuous variable?

Experiment: Ask 50 shampoo users. Let X be the number of satisfied users.  What are the possible values of X?

Choose a number between 1 and 10, multiply it by the age, in years, of the person next to you and add your own age in years. Do this for 5 people. B is the average of the results from the six trials. Is B a random variable?

Which of the following is a continuous random variable?