Discrete Probability Distributions

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
• No, all probabilities are not be between 0 and 1 inclusive
• No, the sum of all the probabilities is not 1.
• Yes, because the distribution is symmetric

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

• $1

• $0.50

• -$0.50

• $0

What is the probability that a randomly selected student plays sports given that they do not do community service?

• A

• B

• C

• D

X has the probability distributions shown in the table. Find the value of k. (Remember that a valid probability distribution must add up to 1)

• 1/3

• 7/12

• 1/12

• 1/4

X has the probability distribution shown in the table. Find P(X < 2).

• 7/8

• 1/2

• 5/8

• 3/8

X has the probability distribution shown in the table. Find P(X > 3).

• 1

• 7/8

• 1/8

• 0

• A

• B

• C

• D

Find the mean (expected value) of the probability distribution.

• 85

• 83.2

• 87.1

• 84.4