Understanding Expected Value and Frequency

In this video, Jamie receives a die for her birthday and rolls it 500 times to ensure its fairness. She calculates the expected value of the sum of 20 rolls to be 67.4. However, two values from her data table are washed away. The video guides viewers through calculating the expected value of a single roll, setting up equations, and solving them to find the missing frequencies of the die rolls.

What was Jamie trying to verify by rolling the die 500 times?

• The size of the die

• The die's color

• The die's weight

• The fairness of the die

What is the expected value of a single roll if the sum of 20 rolls is 67.4?

• 20

• 500

• 67.4

• 3.37

How is the expected value of a roll calculated using the frequency table?

• By dividing all frequencies by 2

• By multiplying all frequencies

• By taking a weighted sum of the frequencies

• By adding all frequencies

What operation is performed to simplify the equation involving the expected value?

• Addition

• Subtraction

• Multiplication by 500

• Division by 500

What is the sum of the frequencies for all outcomes of the die?

• 3.37

• 150

• 500

• 67.4

What is the first step in solving the system of equations for A and B?

• Multiplying both equations by 2

• Dividing both equations by 2

• Subtracting the second equation from the first

• Adding the equations

What is the value of B after solving the system of equations?

• 110

• 95

• 75

• 70

What is the value of A after solving the system of equations?

• 95

• 75

• 70

• 110

What mathematical concept is primarily used to solve for the missing frequencies?

• Algebra

• Calculus

• Probability

• Geometry

What does the expected value of 3.37 represent in this context?

• The average outcome of a single roll

• The total number of rolls

• The sum of all outcomes

• The number of missing frequencies