AP Stats Chapter 8 Review

1. AP StatsChapter 8 Review

2. Q1: Standard Deviation is a measure of what? Shape Center Spread

3. You chose center and that was incorrect. Standard deviation is a measure of spread. Go to Q2

4. You chose shape and that was incorrect. Standard deviation measures spread. Go to Q2

5. Correct! Way to go!! Standard deviation measures spread! Go to Q2

6. Q2: What vocab word is this describing? The average or central value of a random variable; also referred to as the population mean: Binomial Random Variable Expected Value Normal Approximation

7. You chose binomial random variable and that was incorrect. Binomial Random Variable: If the data is produced in a binomial setting then the random variable  X = # of successes is called binomial random variable. The correct answer was expected value. Go to Q3

8. You chose normal approximation and that was incorrect. Expected Value= The average or central value of a random variable; also referred to as the population mean. Normal Approximation- Says that if X is a count having the binomial distribution with parameters n and p, then when n is large, X is approximately normal. Equation: Go to Q3

9. You’re right! Expected Value= The average or central value of a random variable; also referred to as the population mean. Go to Q3

10. Q3: In order for a distribution to be considered a geometric probability, it has to meet the following requirements: 1. the total number of trials is potentially infinite 2. there are only two outcomes for each trial: success or failure 3. all outcomes are independent of each other and…? All trials have the same probability of success. No fourth rule exists Has to be an SRS

11. You are right! The fourth condition is that all trials have the same probability of success! Go to Q4

12. I’m sorry, but you are incorrect. This has really nothing to do with SRS at the moment and there is indeed a 4th rule. The fourth condition is that all trials have the same probability of success. Go to Q4

13. Q4: What is the difference between cdf and pdf? Pdf is probability for one X value and cdf is the sum of probabilities up to the value X The letters Cdf is probability for one X value and pdf is the sum of probabilities up to the value X

14. Ha ha. Let’s try digging a little deeper. Pdf is probability for one X value and cdf is the sum of probabilities up to the value X Go to Q5

15. Almost right! You just got the names backwards. Pdf is probability for one X value and cdf is the sum of probabilities up to the value X Go to Q5

16. You’re right! Pdf is probability for one X value and cdf is the sum of probabilities up to the value X Go to Q5

17. Q5: In which of these do you keep going until a success happens? Geometric Binomial Neither

18. Right! Geometric: The number of trials until a success occurs. While on the other hand Binomial: A variable with a countable number of distinct values that can only result in one of two outcomes. Go to Q6

19. Incorrect! Geometric: The number of trials until a success occurs. While on the other hand Binomial: A variable with a countable number of distinct values that can only result in one of two outcomes. So the correct answer would have been geometric. Go to Q6

20. Sorry, try again. Geometric: The number of trials until a success occurs. While on the other hand Binomial: A variable with a countable number of distinct values that can only result in one of two outcomes. Go to Q6

21. Q6: When is something considered Independent? When they are outliers They are self-sufficient and need no additional data Knowing the result of one observation tells you nothing about the result of the other observations.

22. Incorrect! The right answer would be Knowing the result of one observation tells you nothing about the result of the other observations makes them independent. Go to Q7

23. You are right!! It is considered independent when knowing the result of one observation tells you nothing about the result of the other observations. Go to Q7

24. Incorrect! The right answer would be Knowing the result of one observation tells you nothing about the result of the other observations makes them independent. Go to Q7

25. Q7: What is the equation for a binomial coefficent?

26. You’re right! The correct equation is A binomial coefficent counts the number of ways k successes can be arranged in n observations. Go to Q8

27. Sorry! The equation is A binomial coefficent counts the number of ways k successes can be arranged in n observations Go to Q8

28. Q8: Binomial distribution- A discrete distribution of a random variable X for successes in n trials Each trial has 2 outcomes, a success and a failure. P is the probability of a success. P is the probability of a success and there can be a infinite amount of outcomes

29. You are correct! Good job! P is the probability of a success and there are 2 outcomes! (success/failure) Go to Q9

30. I’m sorry that is incorrect. There can only be 2 outcomes (success and failure) but it is true thatP is the probability of a success. Go to Q9

31. Q9: The percent chance of a success occurring in an experiment (number of successful outcomes divided by total number of possible outcomes). Binomial Probability Geometric Probability Variance

32. No, sorry. Binomial probability is The probability of X successes in n trials. The correct answer is geometric probability. End!

33. No, sorry. Variance is the standard deviation squared. Geometric Probability is the percent chance of a success occurring in an experiment (number of successful outcomes divided by total number of possible outcomes) End!

34. You are right! And binomial probability is The probability of X successes in n trials. The equation for it is: And variance is standard deviation squared. End!

35. Thanks for reviewing the Chapter 8 vocabulary! You get a gold star!