Statistics

The table below shows an estimated number (in thousands) of degrees earned in the United States in 2004.

	Male	Female	TOTAL
	Associate’s Bachelor’s Master’s Doctorate	231 553 197 25	401 769 270 20	632 1322 467 45
	TOTAL	1006	1460	2466

Suppose a person who earned a degree in the U.S. in 2004 is selected at random. Find the probability of selecting someone who:

1) earned a master’s degree

2) earned a master’s degree or is female

3) earned an associate’s degree and is male

4) did not earn a doctorate

5. Assuming that each character on a state’s license plate can be either a letter (A – Z) or a digit (0-9), how many four-character license plates are possible?

6. Fifteen swimmers enter a race. In how many ways can they finish first, second and third?

7. The local newspaper editor must select 4 articles for this week’s paper out of 17 submissions. How many ways can the editor select the stories for this week’s paper?

8. In how many distinguishable ways can the letters in the word mathematics be written?

Decide whether the events are independent or dependent. Justify your reasoning.

9. Tossing a coin 5 times and getting tails each time. Tossing the coin a sixth time and getting tails.

Decide whether the events are mutually exclusive. Justify your reasoning.

10. Event A: Randomly select a king from a standard deck of cards.

Event B: Randomly select a face card from a standard deck of cards.