Expected Value

Expected Value

by Sam R

Open Ended

How would you design a simulation of a 20-sided die?

Open Ended

Address the following questions about your project progress. Also let me know any questions/concerns you may have with the project.

1.Have you made a sketch for your board game?

2.How many spaces does your board game have?

3.How do players move forward/backward?

4.What is the probability of moving forward? What is the probability of moving backwards?

Poll

What is the getting a B given you know the individual is female?

• 11/47

• 8/19

• 11/100

• 11/19

Poll

Select the Discrete Variables

• TikTok Views

• WindSpeed

• Election Votes

• Students in Class

• Temperature

Multiple Choice

The number of books in your locker.

• Continuous
• Discrete

Multiple Choice

The number of babies born at Greenville Memorial Hospital this month.

• Continuous
• Discrete

Multiple Choice

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

• Continuous
• Discrete

Multiple Choice

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

Multiple Choice

Classify: How many miles it takes to use up a tank of gas.

• Discrete

• Continuous

Multiple Choice

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.

Multiple Choice

• Discrete

• Continuous

• Abstract

• cannot be answered

Multiple Choice

• 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

Multiple Choice

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

• 31.8

• 15.68

• 0.20

• 1.00

Multiple Choice

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

• 96.2%
• 13.2%
• 8.31%
• 25.0

Multiple Choice

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

Multiple Choice

If the expected value is negative, are you expected to win?

• yes
• no

Multiple Choice

A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?

• $12.50
• $5
• $7.50
• $10

Multiple Choice

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

Multiple Choice

Find the mean (expected value) of the probability distribution.

• 85

• 83.2

• 87.1

• 84.4

Multiple Choice

A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. Do you expect to win or lose (on average)? How much?

• lose an average of $5.50

• lose an average of $1.50

• win an average of $2.00

• lose an average of $10.00

Open Ended

Rudy is purchasing a toaster. Of the toasters in the store, 70% cost $10, 20% cost $20, and 10%

cost $50. How much can Rudy expect to pay for a toaster?

​If you Finish the Expected Value Lesson Early...

​If you finish the expected value lesson early, complete the following tasks.

​

​1. Complete the 8.5.1 Review Practice assignment

​

​2. Construct the probability table for your sketched game board for the 8.4.1 Project.

​

​3. Run your simulated players turns for the 8.4.1 Project