p(e)=nbr of successes

__________________________

total nbr of outcomes

P(Not E) = 1 - P(E)

P(A or B) = P(A) + P(B) - P(A and B)

Mutually Exclusive/Disjoint P(A and B) = 0

P(A and B) = P(A) * P(B|A)

Independent = P(B) = P(B|A)

Expected Value = e[x*p(X)]

Question 1

According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.10. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.13. The is the probability that they will either score a touchdown on the opening drive or have3 or more sacks in the game is 0.37. What is the probability that the Bucs will score a touchdown on their first drive?

Answer in decimal form. Round to two decimal places as needed.

Question 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 0.13. The probability that their defense will have 3 or more sacks in the game is 0.27. The probability that the Bucs will either score a touchdown on their opening drive or have 3 or more sacks in the game is 0.07. What is the probability that they will both score a touchdown on the opening drive and have3 or more sacks in the game?

Answer in decimal form. Round to two decimal places as needed.

Question 3

Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

Question 3 options:

1)	Yes, they are mutually exclusive

2)	No, they are not mutually exclusive

Question 4

Given P(A) = 0.92, P(B) = 0.33, and P(A or B) = 0.40, are events A and B mutually exclusive?

Question 4 options:

1)	Yes, they are mutually exclusive

2)	No, they are not mutually exclusive

Question 5

Given P(A) = 0.34, P(B) = 0.60, and P(A or B) = 0.24, are events A and B mutually exclusive?

Question 5 options:

1)	Yes, they are mutually exclusive

2)	No, they are not mutually exclusive

Question 6

Given the following probability distribution, what is the expected value?

Outcome	P(Outcome)
2	0.14
19	0.21
17	0.19
3	0.21
11	0.25

Round to 3 decimal places as needed.

Question 7

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.

Question 8

Given the following probability distribution, what is the expected value?

Outcome	P(Outcome)
9	0.20
13	0.10
11	0.24
20	0.05
6	0.41

Round to 3 decimal places as needed.

Question 9

The following table lists the number of unicyclists in Austin, TX. by age group.

Age Group	Frequency
19	8
20-29	31
30-39	39
40-49	30
50-59	84
60-69	74
70	59

What is the probability that a randomly selected unicyclist from Austin, TX is not between 30 and 39?

Answer in decimal form. Round your answer to 3 decimal places.

Question 10

The following table lists the number of unicyclists in Austin, TX. by age group.

Age Group	Frequency
19	7
20-29	10
30-39	69
40-49	82
50-59	5
60-69	41
70	22

What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 50 and 59?

Answer in decimal form. Round your answer to 3 decimal places.

Question 11

Given P(A) = 0.26, P(B) = 0.27, and P(B|A) = 0.27, are A and B independent or dependent?

Question 12 (1 point)

Given P(A) = 0.22, P(B) = 0.26, and P(B|A) = 0.26, are A and B independent or dependent?

Question 13

Given P(E) = 0.73, what is P(E')?

Question 14

Given P(E) = 0.40, P(F) = 0.29, and P(E and F) = 0.10, what is P(E or F)?

Question 15

Given P(E or F) = 0.55, P(F) = 0.19, and P(E and F) = 0.04, what is P(E)?

Question 16

Given P(E or F) = 0.63, P(E) = 0.10, and P(E and F) = 0.11, what is P(F)?

Question 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 0.43. The probability that they make it to their first period class on time, given that they catch the bus is 0.72. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.36. What is the probability that Napoleon and Pedro catch the bus?

Answer in decimal form. Round to 4 decimal places as needed.

Question 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 0.20. The probability that Napoleon and Pedro catch the bus is 0.44. However, the probability that they make it to their first period class on time, given that they catch the bus is 0.83. 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.

Question 19

Given P(A) = 0.29, P(B) = 0.36, P(C) = 0.27 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.

Question 20

Suppose you have 3 red marbles, 2 blue marbles, and 4 yellow marbles in a bag. What is the sample space for an experiment where you pull 2 marbles at random from the bag?

Note: "R" = red marble, "B" = blue marble, and "Y" = yellow marble, so "RYB" means that you drew a red marble, then a yellow marble, then a blue marble.

Question 20 options:

	RR, BB, YY
	RR, RB, RY, BR, BB, BY, YR, YB, YY
	RB, RY, BR, BY, YR, YB
	RBY, RYB, RBR, RYR

Question 21

A spinner is broken into sections labeled 1 to 39. What is the probability that, on your next spin, that you will spin a number greater than 3?

Answer in decimal form. Round to 3 decimal places as needed

Question 22

Given the following data for an imaginary superhero universe:

	Flying	Telepathy	Super Strength
Female	76	38	81
Male	6	76	78
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