Random Variables and Expected Value

Which of the following random variables is NOT continuous?

• Amount of gasoline in a car.
• Time it takes to commute to work.
• Number of goals scored by a hockey team.
• Lifetime of a AAA battery.

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

State whether it is Discrete or Continuous;

The temperature of metal as it cools

• Discrete

• Continuous

• .88

• .12

• .78

• .22

• 1.67

• 1.077

• 2.0

• 1.41

• 1.67

• 1.0775

• 1.581

• 1.414

• .21

• .79

• .64

• .89

Is this a probability distribution?

• No

• Yes

• 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