Random Variables

State whether it is Discrete, continuous, or neither:

A film critic's rating of a film, 0 to 4 stars

• Discrete

• Continuous

• Neither

State whether it is Discrete, continuous, or neither:

The speed of a car

• Discrete

• Continuous

• Neither

State whether it is Discrete, continuous, or neither:

The color of jeans in a shop

• Discrete

• Continuous

• Neither

Tags

CCSS.HSS.ID.A.4

State whether it is Discrete, continuous, or neither:

The temperature of metal as it cools

• Discrete

• Continuous

• Neither

• Yes, because all of the probabilities are between 0 and 1 inclusive and the probabilities add to 1.

• No, all probabilities are not between 0 and 1

• No, the probabilities do not add to 1.

• Yes, because the distribution is symmetric

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Let the random variable X be the number of best friends each of a Grade 3 student. The probability distribution of X is shown on the left. What is the probability histogram of this distribution?

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Tags

CCSS.HSS.ID.A.1

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Which of the following is NOT a requirement for the Binomial distribution?

• All trials must be independent.

• Events are binary (success or failure)

• All trials are dependent on each other.

• There is a set # of trials

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

An algebra 2 test has 6 multiple choice questions with a 25% probability of guessing correctly. If we just randomly guess on each of the 6 questions, how to find the probability that you get exactly 3 questions correct?

• binomcdf(6, 0.25, 3)

• binompdf(6, 0.25, 3)

• binomcdf(6, 0.25, 2)

• 1-binomcdf(6, 0.25, 3)

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

The Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. How can you find the probability that at least 2 of the first 10 blood donors has Type B blood?

• binomcdf(10, 0.11, 2)

• binomcdf (10, 0.11, 1)

• 1 - binomcdf(10, 0.11, 2)

• 1 - binomcdf(10, 0.11, 1)

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.4

Find the mean of a binomial distribution with n=50 and p=0.4

• 50

• 4

• 20

• 10

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3