Probability Discrete and Continuous Random Variables

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 P(X) 0 0.24 1 0.27 2 0.20 3 0.11 4 0.05 5 0.03 What is the probability that a randomly chosen household has exactly one car?

• 0.61

• 0.29

• 0.39

• 0.27

• Discrete

• Continuous

• Abstract

• cannot be answered

The probability distribution for the random variable x is shown in the table

• 
• 
• 
• 

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

• No, some of probabilities are not between 0 and 1 inclusive

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

• Yes, because the distribution is symmetric

• 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

• 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

What is the numerical quantity assigned to the outcome of an experiment usually denoted by an uppercase letter such as X?

• Frequency

• Probability

• Random variable

• Sample

What are the random variables in the given problem.

• x = 1, 2, 3

• x = 0, 1, 2, 3

• x = 2, 3, 4, 5, 6

• x = 0, 2, 4, 6, 8

What is the probability distribution of getting a sum of 2?

• 0.0625

• 0.6250

• 0.125

• 0.375

What is the probability distribution of getting a sum of 3

• 0.0625

• 0.250

• 0.125

• 0.750