QUESTION 1

Ninety-nine college students, classified by major as science, technology, engineering, and mathematics (STEM), or non-STEM, were polled to determine what their favorite type of pet is from cat, dog, other mammal, and non-mammal. The results of this poll are shown below and to be used for the next few questions.

Pet type \ Major	Science, technology, engineering, and mathematics (STEM)	Non-STEM	Total
Cat	14	15	29
Dog	20	32	52
Other mammal	3	4	7
Non-mammal	6	5	11
Total	43	56	99

4. What is the probability that a randomly selected student from this poll whose favorite type of pet is a dog is a non-STEM major? Express your answer as a decimal rounded to 4 decimal places.

6. What is the probability that a randomly selected student from this poll is a non-STEM major whose favorite type of animal is an other mammal? Express your answer as a decimal rounded to 4 decimal places.

QUESTION 2:

7. A random CCC student is surveyed. Is it true or false that the events "the student identifies as male" and "the student is from Flagstaff" are mutually exclusive?

A. True

B. False

8. Why or why not?

QUESTION 3

9. A random CCC student is surveyed. Is it true or false that the events "the student is 19 or younger" and "the student is 20 or older" are complementary?

A.True

B. False

10. Why or why not?

QUESTION 4:

A fair 7-sided die (with sides numbered 1 through 7) is rolled and a card is pulled from a shuffled 52-card deck (2 black suits and 2 red suits, each with 13 denominations [2 through 10, J, Q, K, A]).

11. What is the probability that the die and card are both odd? Express your answer as a decimal rounded to 4 decimal places. (Remember, the royal cards (J, Q, K, and A) are neither even nor odd.)

12. Treating the royal cards as 10s, what is the probability that the die and card total 18 or more?Express your answer as a decimal rounded to 4 decimal places.

13. Treating the royal cards as 10s, what is the probability that the die and card total at least 3?Express your answer as a decimal rounded to 4 decimal places.

QUESTION 5:

14. Is it true or false that the function below could be a probability distribution function?

x	1	3	7
f(x)	0.5	0.6	-0.1

True

False

15. Why or why not?

QUESTION 6:

A discrete random variable has the probability distribution function given below.

x	1	2	10
p(x)	0.4	0.5	0.1

16. What is the expected value of this random variable? Express your answer as a decimal rounded to 4 decimal places.

17. What is the probability that this random variable is less than 9? Express your answer as a decimal rounded to 4 decimal places.

18. What is the probability that this random variable is at least 0.5? Express your answer as a decimal rounded to 4 decimal places.