Question 1 (1 point)

According to the Chronicles of Contrived Statistics (March, 2016), the probability that Elon Musk will offer you a free trip into space in the next month is 35%. The probability that scientists from Area 51 will start selling pet aliens next month is 45%. Finally, the probability that either Elon Musk will offer you a free trip to space or that scientists will begin sales of pet aliens next month is 34%. What is the probability that both Elon Musk will offer you a free trip into space and scientists from Area 51 will start selling pet aliens in the next month?

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

Your Answer:

Question 1 options:

Answer

Question 2 (1 point)

Given P(A) = 0.03, P(B) = 0.42, and P(A or B) = 0.11, are events A and B mutually exclusive?

Question 2 options:

	Yes, they are mutually exclusive
	No, they are not mutually exclusive

Question 3 (1 point)

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

Outcome	P(Outcome)
30	0.15
3	0.26
20	0.12
18	0.08
25	0.23
15	0.16

Round to 2 decimal places as needed

Your Answer:

Question 3 options:

Answer

Question 4 (1 point)

In a certain year, 14,291 professional train pushers are diagnosed with carpal tunnel. The top cities for such diagnoses are Tokyo with 3,178, Osaka with 2,300, and Kyoto with 1,151. If a professional train pusher recently diagnosed with carpal tunnel is randomly selected, what is the probability that they are from somewhere other than Tokyo, Kyoto or Osaka?

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

Your Answer:

Question 4 options:

Answer

Question 5 (1 point)

Given P(A) = 0.89, P(B) = 0.55, and the fact that events A and B are independent, What is P(A and B)?

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

Your Answer:

Question 5 options:

Answer

Question 6 (1 point)

Given P(A) = 0.37, P(B) = 0.37, P(A or B) = 0.39, what is P(A and B)?

Answer in decimal form. Round to 2 decimal places as needed.

Your Answer:

Question 6 options:

Answer

Question 7 (1 point)

According to the Almanac of Questionable Statistics, Vol 4 (2012), the probability of a mass squirrel uprising in any given year is 0.07 and the probability that cats and dogs will sign a peace treaty allowing them to live together peacefully in any given year is 0.52. If we presume that these two events are independent, what is the probability of both happening next year?

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

Your Answer:

Question 7 options:

Answer

Question 8 (1 point)

If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first 6 months out of college is 22%, what is the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will not get hired in the first 6 months out of college?

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

Your Answer:

Question 8 options:

Answer

Question 9 (1 point)

Given P(A) = 0.033, P(B) = 0.113, and P(C) = 0.146, and that events A, B, and C are mutually exclusive, what is the P(A or B or C)?

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

Your Answer:

Question 9 options:

Answer

Question 10 (1 point)

Given P(A) = 0.15, P(B) = 0.45, and P(A or B) = 0.35, are events A and B mutually exclusive?

Question 10 options:

	Yes, they are mutually exclusive
	No, they are not mutually exclusive

Question 11 (1 point)

Given P(A) = 0.39, P(A and B) = 0.25, P(A or B) = 0.41, what is P(B)?

Answer in decimal form. Round to 2 decimal places as needed.

Your Answer:

Question 11 options:

Answer

Question 12 (1 point)

The following table lists the approximate number of adults (18+) who are obese (BMI 25) in North America in 2014 by country and gender.

	Female Obese	Male Obese	Female Not Obese	Male Not Obese
Canada	11 M	12 M	7 M	6 M
Mexico	40 M	37 M	21 M	22 M
U.S.A.	101 M	113 M	61 M	44 M

(adapted from http://apps.who.int/gho/data/node.main.A897A?lang=en)

Based on this data, what is the probability that a randomly selected female in North America will be obese?

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

Your Answer:

Question 12 options:

Answer

Question 13 (1 point)

Given P(A) = 0.09, P(B) = 0.60, and P(B|A) = 0.89, what is P(A and B)?

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

Your Answer:

Question 13 options:

Answer

Question 14 (1 point)

Given that P(A) = 0.09, P(B) = 0.20, and P(A and B) = 0.018, are events A and B independent?

Question 14 options:

	Yes, they are independent
	No, they are not independent

Question 15 (1 point)

The table below lists the frequency of clowns, by hair color, in a given fraternal order of clowns.

Hair Color	Count
Red	83
Blue	51
Rainbow	63
Other	34

What is the probability that a randomly selected clown from this fraternal order has hair that is not rainbow?

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

Your Answer:

Question 15 options:

Answer

Question 16 (1 point)

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

Outcome	P(Outcome)
34	0.24
23	0.06
30	0.03
20	0.09
14	0.09
36	0.49

Round to 2 decimal places as needed

Your Answer:

Question 16 options:

Answer

Question 17 (1 point)

Given P(A) = 0.33, P(B) = 0.41, and P(A and B) = 0.22, what is P(A or B)?

Answer in decimal form. Round to 2 decimal places as needed.

Your Answer:

Question 17 options:

Answer

Question 18 (1 point)

Given that P(A) = 0.17, P(B) = 0.08, and P(A and B) = 0.0136, are events A and B independent?

Question 18 options:

	Yes, they are independent
	No, they are not independent

Question 19 (1 point)

Given P(B) = 0.22, P(A and B) = 0.22, P(A or B) = 0.40, what is P(A)?

Answer in decimal form. Round to 2 decimal places as needed.

Your Answer:

Question 19 options:

Answer

Question 20 (1 point)

Suppose you have vanilla and chocolate ice cream, red sprinkles, green sprinkles, and rainbow sprinkles. Which of the following represents all of the sundaes you could make with one scoop of ice cream, and one type of sprinkle?

Question 20 options:

	vanilla with red sprinkles, vanilla with green sprinkles, vanilla with rainbow sprinkles
	chocolate with red sprinkles, chocolate with green sprinkles, chocolate with rainbow sprinkles
	vanilla with red sprinkles, vanilla with green sprinkles, vanilla with rainbow sprinkles, chocolate with red sprinkles, chocolate with green sprinkles, chocolate with rainbow sprinkles
	vanilla with red sprinkles, vanilla with rainbow sprinkles, chocolate with green sprinkles, chocolate with rainbow sprinkles

Question 21 (1 point)

Given the following data for an imaginary superhero universe:

	Flying	Telepathy	Super Strength
Female	20	100	22
Male	29	54	22
Distribution of Super Power by Gender

What is the empirical probability that a randomly selected female superhero will be able to fly?

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

Your Answer:

Question 21 options:

Answer

Question 22 (1 point)

A spinner is broken into sections labeled 1 to 11. What is the probability that, on your next spin, that you will spin a(n) 2?

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

Your Answer: