Topic Test Chapter 4 - Discrete Probability Distribution

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: Height of a plant measured each day for 30 days.

• Discrete

• Continuous

Tags

CCSS.HSN.Q.A.1

Is this a probability distribution?

• No

• Yes

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.4

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the mean and the standard deviation.

• μ = .4; σ = 7.5

• μ = 2.5; σ = 1.1

• μ = 3; σ = 1.3

• μ = .1; σ = 0

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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.ID.A.4

• 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

Classify: The time it takes for a light bulb to burn out.

• Discrete

• Continuous

Tags

CCSS.HSS.MD.A.1

A marketing survey compiled data on the number of cars in households.  If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: 
X           0          1          2          3           4           5    
P(X)   0.24    0.37    0.20    0.11    0.05     0.03
What is the probability that a randomly chosen household has at least two cars?

• 0.20
• 0.29
• 0.39
• 0.61

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7

Which of the following is NOT a requirement of a discrete probability distribution?

• The sum of the values for the random variable x must add up to 1.

• There is a discrete numerical (not categorical) random variable x, and its number values are associated with corresponding probabilities.

• The sum of the probabilities must all add up to 1.

• Every individual probability must have a value between 0 and 1 inclusively.

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

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.2

CCSS.HSS.MD.B.5