Probability Distribution Expected Value

Find the expected value, round to 3 decimal places.

• 0.4

• 0.6

• 0

• 1.1

Find the missing value for P(X = 5) in the probability ditribution:

Number of Toys | Probability

0| 0.03

1| 0.16

2| 0.30

3| 0.23

4| 0.17

5| ?

• 0.11

• 0.21

• 0.01

• 0.31

What does P(Y < 3) mean?

• The probability that the random variable Y is greater than 3.

• The probability that the random variable Y is less than 3.

• The probability that the random variable X is greater than 3.

• The probability that the random variable X is less than 3.

In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.

• 2.00

• 2.13

• 1.97

• 1.27

If the expected value is negative, are you expected to win?

• yes

• no

Find the expected value. READ CAREFULLY!

• 4.5

• 25.5

• 3.825

• 6.52

A game consists of rolling a colored die with three red sides, two green sides, and one blue side. A roll of a red loses. A roll of green pays $2.00. A roll of blue pays $5.00.   The charge to play the game is $2.00. What is the expected value

• $0

• -$0.50

• $.67

• $-1.50

Determine which of the following distribution is NOT a probability distribution.

• A

• B

• C

• D

A discrete random variable 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

Determine which of the following distribution is NOT a probability distribution. (Remember that a valid probability distribution must add up to 1)

• A

• B

• C

• D