Statistics: Probability Distributions

Classify: The numbers of cheeseburgers a fast-food restaurant serves each day

• Discrete

• Continuous

Which one of the following is a discrete random variable?

• Sam's height

• Sam weight

• Time Sam's runs the 110 m hurdles

• Amount of Sam's brothers and sisters

Tags

CCSS.HSS.MD.A.1

Classify: How many miles it takes to use up a tank of gas.

• Discrete

• Continuous

Tags

CCSS.HSN.Q.A.1

• 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

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Is this a probability distribution?

• No, the sum of all the probabilities is not 1.

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1

• Yes, because the distribution is symmetric

• No, all probabilities are not between 0 and 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

Is this a probability distribution?

• No, the sum of all the probabilities is not 1.

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1

• Yes, because the distribution is symmetric.

• No, all probabilities are not between 0 and 1.

Bob and Stacey survey a total of 215 students about their favorite flavors of milk shakes. The table shows the results of the survey.

• About half of the students surveyed preferred chocolate milk shakes.

• About 25% of students prefer strawberry milk shakes.

• The majority of the students surveyed prefer either strawberry or vanilla milk shakes.

• There are 28 more students who prefer vanilla to chocolate milk shakes.

The table above shows the number of cell phones per household in a small town. Find the mean. Round to the nearest hundredth.

• 2.80

• 2.93

• 0.10

• 0.14

The table above shows the number of cell phones per household in a small town. Find the standard deviation. Round to the nearest tenth.

• 0.8

• 1.7

• 1.3

• 1.0