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Overview of Probability in Calculus Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1. A continuous probability distribution function is also known as which of the following?

Question 2 2. Which of the following is associated with a continuous random variable?

Question 3 3. In a probability distribution function, what does the x-axis typically represent?

Question 4 4. In a probability distribution function, what does the y-axis typically represent?

Question 5 5. Why is the result of rolling a die considered a discrete random variable?

Page 2

Question 6 6. All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

Question 7 7. If you roll a die three times, what is the probability of rolling only even numbers?

Question 8 8. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

Question 9 9. Using a standard deck of 52 cards, what is the probability of selecting a 4 and then after not replacing the card, selecting another 4?

Question 10 10. All of the letters of MISSISSIPPI are put in a bag. What is the probability of selecting an M and then after not replacing the letter, selecting a P?

Page 3

Question 11 11. In the Poisson formula, what does the variable x represent?

Question 12 12. To use a Poisson distribution, each successful event must be what?

Question 13 13. A local bakery sells an average of 5 cakes each day. What is the probability of selling 40 cakes in a week?

Question 14 14. In a Poisson distribution, the likelihood of each successful event must do what over any interval?

Question 15 15. A Poisson distribution can be used to find the probability of an event related to which of the following?

Page 4

Question 16 16. The probability of selecting a red M&M from a bag is 2/5. If 5 M&Ms are selected, what is the probability of at least one M&M being red?

Question 17 17. On a 5 question, multiple-choice test, what is the probability that you will get at least one problem correct while guessing? Each question has 5 choices.

Question 18 18. The name Joe is very common at a school and 1 out of every 10 students go by that name. If there are 15 students in one class, what is the probability that at least one of them is named Joe?

Question 19 19. The probability of selecting a green ball from a bag is 1 out of 8, assuming there are 8 balls in the bag. If you select 3 balls, replacing them each time, what is the probability of at least one of them being green?

Question 20 20. The probability of selecting a brown M&M from a bag is 1 out of 4. If 8 M&Ms are selected, what is the probability that at least one of them is brown?

Page 5

Question 21 21. Which of the following is the only acceptable answer for a question that begins with: 'What is the probability of...?'

Question 22 22. When should you use the multiplication rule?

Question 23 23. What are independent events?

Question 24 24. When is it appropriate to use the addition rule?

Question 25 25. What are mutually exclusive events?

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Question 26 26. The letters that spell out the state CALIFORNIA are cut and placed in a bag. What is the probability that the 3rd letter selected will be a C if the first two letters selected were both I's? (Letters were not replaced)

Question 27 27. In a fish tank there are 10 clown fish, 4 angel fish, 6 puffer fish, and 5 eels. What is the probability of scooping out a clown fish on the second scoop after scooping out a clown fish on the first scoop and not replacing it? Give your answer as a fraction in its most reduced form.

Question 28 28. While playing with a standard deck of playing cards, what is the probability that Jim's 5th card will be red after selecting 4 cards that were also red and not replacing them? (Hint: There are 52 cards in a deck which contains 26 red and 26 black cards.)

Question 29 29. Jenny has a bowl of M&M's that has 6 brown, 3 green, 4 red, and 12 yellow M&M's. She selects a yellow M&M and does not replace it. What is the probability that her second selection will be a brown M&M?

Question 30 30. Twelve employees at a local company decide to go out for lunch. Of the 12 employees, 8 are men and 4 are women. If a woman is the first to order, what is the probability that a man will be the next person to order lunch?

Overview of Probability in Calculus Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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