Question
1. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers willscore a touchdown on their opening drive
1. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers willscore a touchdown on their opening drive is 0.13. The probability that their defense will have 3 or more sacks in the game is 0.14. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.07. What is the probability that they will either score a touchdown on the opening drive or have3 or more sacks in the game?
2. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers willscore a touchdown on their opening drive is 0.11. The probability that their defense will have 3 or more sacks in the game is 0.33. The probability that the Bucs will either score a touchdown on their opening drive or have 3 or more sacks in the game is 0.04. What is the probability that they will both score a touchdown on the opening drive and have3 or more sacks in the game?
3. Given P(A) = 0.34, P(B) = 0.60, and P(A or B) = 0.24, are events A and B mutually exclusive?
4. Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?
5. Given P(A) = 0.22, P(B) = 0.60, and P(A or B) = 0.82, are events A and B mutually exclusive?
6. Given the following probability distribution, what is the expected value?
Outcome | P(Outcome) |
---|---|
20 | 0.03 |
16 | 0.24 |
9 | 0.28 |
6 | 0.03 |
10 | 0.42 |
7. Given the following probability distribution, what is the expected value?
Outcome | P(Outcome) |
---|---|
16 | 0.09 |
4 | 0.02 |
2 | 0.19 |
14 | 0.09 |
11 | 0.61 |
8. Given the following probability distribution, what is the expected value?
Outcome | P(Outcome) |
---|---|
4 | 0.13 |
20 | 0.27 |
17 | 0.16 |
3 | 0.29 |
19 | 0.15 |
9. The following table lists the number of unicyclists in Austin, TX. by age group.
Age Group | Frequency |
---|---|
19 | 39 |
20-29 | 34 |
30-39 | 54 |
40-49 | 79 |
50-59 | 83 |
60-69 | 16 |
70 | 4 |
What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 20 and 29?
10. The following table lists the number of unicyclists in Austin, TX. by age group.
Age Group | Frequency |
---|---|
19 | 77 |
20-29 | 38 |
30-39 | 69 |
40-49 | 25 |
50-59 | 22 |
60-69 | 73 |
70 | 41 |
What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 50 and 59?
11. Given P(A) = 0.26, P(B) = 0.27, and P(B|A) = 0.27, are A and B independent or dependent?
12. Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?
13. Given P(E) = 0.72, what is P(E')?
14. Given P(E) = 0.27, P(F) = 0.41, and P(E and F) = 0.02, what is P(E or F)?
15. Given P(E or F) = 0.50, P(F) = 0.24, and P(E and F) = 0.08, what is P(E)?
16. Given P(E or F) = 0.60, P(E) = 0.39, and P(E and F) = 0.15, what is P(F)?
17. Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.41. The probability that they make it to their first period class on time, given that they catch the bus is 0.63. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.40. What is the probability that Napoleon and Pedro catch the bus?
18. Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.33. The probability that Napoleon and Pedro catch the bus is 0.48. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.86. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
19. Given P(A) = 0.85, P(B) = 0.02, P(C) = 0.25 and that events A, B, and C are independent, what is P(A, B, and C).
20. Suppose Fred has 2 pairs of pants (blue and black) and 3 shirts (red, blue, and black). Which of the following represents all of the outfits Fred could make with these options? Note: options list the color of pants, and then color of shirt.
21. A spinner is broken into sections labeled 1 to 34. What is the probability that, on your next spin, that you will spin a(n) 2?
Given the following data for an imaginary superhero universe:
Flying | Telepathy | Super Strength | |
---|---|---|---|
Female | 62 | 16 | 90 |
Male | 3 | 49 | 68 |
Distribution of Super Power by Gender |
What is the empirical probability that a randomly selected female superhero will be able to fly?
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