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Question 1 (1 point)

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Which of the following represents the sample space resulting from flipping a coin 3 times?

Note: “H” = heads, “T” = tails, so “HTT” means heads, and then tails, and then tails

Question 1 options:

 HHH, TTT H, T HHH, HHT, HTH, HTT, THH, THT, TTH, TTT HTH, THT, HHH, TTT

Question 2 (1 point)

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, Ethics, and Physics.  Because Polly is registering early, she has 10 choices for her section of Statistics, 16 choices for her section of Composition, 16 choices for her section of Ethics, and 19 choices for her section of Physics.  From how many possible schedules can Polly choose?

(You may presume that none of these sections interfere with each other)

Question 2 options:

Question 3 (1 point)

In her last semester at SPC, Polly Hedron needs to take Statistics and Composition 2.  Because Polly is registering early, she has 12 choices for her section of Statistics and 15 choices for her section of Composition.  From how many possible schedules can Polly choose?

(You may presume that none of these sections interfere with each other)

Question 3 options:

Question 4 (1 point)

At the restaurant  i 23 Σ π, they have 24 soup, 5 appetizer, 5 salad, 20 entree, and 6 dessert options.  How many unique 5-course meals (consisting of one soup, one appetizer, one salad, one entree, and one dessert) can be created?

Question 4 options:

Question 5 (1 point)

At the restaurant  i 23 Σ π, they have 7 appetizer and 13 entree options.  How many unique 2-course meals (consisting of one appetizer, and one entree) can be created?

Question 5 options:

Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, and Georgia  are invited to a dinner party.  They arrive in a random order and all arrive at different times.  What is the probability that Xeres arrives first AND Regina arrives last?

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

Question 1 options:

Question 2 (1 point)

Haroldo, Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a dinner party.  They arrive in a random order and all arrive at different times.  What is the probability that Xeres arrives first?

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

Question 2 options:

Question 3 (1 point)

Given the probability that “she’s up all night ’til the sun” is 0.39, the probability that “she’s up all night for good fun” is 0.46, and the probability that “she’s up all night ’til the sun” AND “she’s up all night for good fun” is 0.19, what’s the probability that “she’s up all night ’til the sun” OR “she’s up all night for good fun”?

Round to 2 decimal places as needed.

Question 3 options:

Question 4 (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 0.25.  The probability that their defense will have 3 or more sacks in the game is 0.15.  The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.04.  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.

Question 4 options:

Question 5 (1 point)

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

 Age Group Frequency ≤19 8 20-29 11 30-39 18 40-49 44 50-59 39 60-69 2 ≥70 36

What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 20 and 29?

Question 5 options:

Question 6 (1 point)

Given P(E or F) = 0.58, P(E) = 0.22, and P(E and F) = 0.17, what is P(F)?

Question 6 options:

Question 7 (1 point)

Given P(E) = 0.18, what is P(E ‘)?

Question 7 options:

Question 8 (1 point)

Given P(A and B) = 0.07, P(A) = 0.75, and P(B) = 0.63 are events A and B independent or dependent?

Question 8 options:

 1) Independent

 2) Dependent

Question 9 (1 point)

Given P(A and B) = 0.94, P(A) = 0.98, and P(B) = 0.96 are events A and B independent or dependent?

Question 9 options:

 1) Independent

 2) Dependent

Question 10 (1 point)

Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

Question 10 options:

 1) Independent

 2) Dependent

Question 11 (1 point)

Given P(A) = 0.29, P(B) = 0.29, and P(B|A) = 0.28, are A and B independent or dependent?

Question 11 options:

 1) Dependent

 2) Independent

Question 12 (1 point)

Given P(A) = 0.61, P(B) = 0.66, P(B|A) = 0.41, what is P(A and B)?

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