Introduction to Statistics
PreQuiz 6

Probability Distributions I
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Determine the possible values of the random variable.
1) Suppose a coin is tossed four times. Let X denote the total number of tails obtained in the
four tosses. What are the possible values of the random variable X?
1)
Obtain the probability distribution of the random variable.
2) When two balanced dice are rolled, 36 equally likely outcomes are possible as shown
below.
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
Let X denote the smaller of the two numbers. If both dice come up the same number, then
X equals that common value. Find the probability distribution of X. Leave your
probabilities in fraction form.
2)