Question 1 (1 point)
According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.22. The probability that their defense will have 3 or more sacks in the game is 0.37. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.02. What is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game?
Answer in decimal form. Round to two decimal places as needed.
Your Answer:
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Question 2 (1 point)
According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers will score a touchdown on their opening drive is 0.12. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.15. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.22. What is the probability that the Bucs will have 3 or more sacks in the game?
Answer in decimal form. Round to two decimal places as needed.
Your Answer:
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Question 3 (1 point)
Given P(A) = 0.92, P(B) = 0.33, and P(A or B) = 0.40, are events A and B mutually exclusive?
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Question 4 (1 point)
Given P(A) = 0.34, P(B) = 0.60, and P(A or B) = 0.24, are events A and B mutually exclusive?
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Question 5 (1 point)
Given P(A) = 0.14, P(B) = 0.55, and P(A or B) = 0.69, are events A and B mutually exclusive?
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Question 6 (1 point)
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 |
Round to 3 decimal places as needed.
Your Answer:
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Question 7 (1 point)
Given the following probability distribution, what is the expected value?
| Outcome | P(Outcome) |
| 9 | 0.10 |
| 11 | 0.06 |
| 4 | 0.14 |
| 15 | 0.06 |
| 18 | 0.64 |
Round to 3 decimal places as needed.
Your Answer:
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Question 8 (1 point)
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 |
Round to 3 decimal places as needed.
Your Answer:
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Question 9 (1 point)
The following table lists the number of unicyclists in Austin, TX. by age group.
| Age Group | Frequency |
| ≤19 | 95 |
| 20-29 | 29 |
| 30-39 | 24 |
| 40-49 | 35 |
| 50-59 | 44 |
| 60-69 | 89 |
| ≥70 | 35 |
What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 60 and 69?
Answer in decimal form. Round your answer to 3 decimal places.
Your Answer:
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Question 10 (1 point)
The following table lists the number of unicyclists in Austin, TX. by age group.
| Age Group | Frequency |
| ≤19 | 39 |
| 20-29 | 36 |
| 30-39 | 82 |
| 40-49 | 44 |
| 50-59 | 76 |
| 60-69 | 41 |
| ≥70 | 70 |
What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 20 and 29?
Answer in decimal form. Round your answer to 3 decimal places.
Your Answer:
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Question 11 (1 point)
Given P(A) = 0.26, P(B) = 0.27, and P(B|A) = 0.27, are A and B independent or dependent?
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Question 12 (1 point)
Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?
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Question 13 (1 point)
Given P(E) = 0.72, what is P(E‘)?
Your Answer:
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Question 14 (1 point)
Given P(E) = 0.19, P(F) = 0.46, and P(E and F) = 0.04, what is P(E or F)?
Your Answer:
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Question 15 (1 point)
Given P(E or F) = 0.69, P(F) = 0.15, and P(E and F) = 0.12, what is P(E)?
Your Answer:
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Question 16 (1 point)
Given P(E or F) = 0.82, P(E) = 0.31, and P(E and F) = 0.19, what is P(F)?
Your Answer:
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Question 17 (1 point)
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 0.43. The probability that they make it to their first period class on time, given that they catch the bus is 0.68. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.23. What is the probability that Napoleon and Pedro catch the bus?
Answer in decimal form. Round to 4 decimal places as needed.
Your Answer:
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Question 18 (1 point)
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 0.44. The probability that Napoleon and Pedro catch the bus is 0.62. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.77. What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time?
Answer in decimal form. Round to 4 decimal places as needed.
Your Answer:
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Question 19 (1 point)
Given P(A) = 0.58, P(B) = 0.53, P(C) = 0.85 and that events A, B, and C are independent, what is P(A, B, and C).
Answer in decimal form. Round to 3 decimal places as needed.
Your Answer:
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Question 20 (1 point)
Which of the following represents the sample space resulting from flipping a coin 2 times?
Note: “H” = heads, “T” = tails, so “HTT” means heads, and then tails, and then tails
Question 20 options:
| HH, HT, TH, TT | |
| HT, TH, HT, TH | |
| HH, TT | |
| H, T |
Question 21 (1 point)
A spinner is broken into sections labeled 1 to 40. What is the probability that, on your next spin, that you will spin a(n) 8?
Answer in decimal form. Round to 3 decimal places as needed
Your Answer:
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Question 22 (1 point)
Given the following data for an imaginary superhero universe:
| Flying | Telepathy | Super Strength | |
| Female | 9 | 78 | 40 |
| Male | 90 | 60 | 43 |
| Distribution of Super Power by Gender | |||
What is the empirical probability that a randomly selected female superhero will have telepathy?
Answer in decimal form. Round to 3 decimal places as needed
Your Answer:
Question 22 options:
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