Distribution of random variable

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

• None of these

• Abstract

• Continuous

• Discrete

• 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

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

• A

• B

• C

• D

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

Is this a probability distribution?

• No, the sum of p(x) does not equal 1.

• Yes, all p(x) are between 0 and 1.

• No, all p(x) are not between 0 and 1.

• Yes, the sum p(x) is 1.

Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6

• 14
• 4.67
• 5
• 7.5

Tick all the correct examples of discrete variable.

• A film critic's rating of a film (0 - 4 stars)

• Time taken to commute to work

• The sum of the numbers rolled on a pair of dice

• Winning ticket number drawn from a raffle

• Amount of gasoline a car

State whether it is Discrete or Continuous;

The speed of a car

• Discrete

• Continuous

State whether it is Discrete or Continuous;

The sum rolled on a pair of dice

• Discrete

• Continuous