. Evaluate:
a. 11 P 5 ___________________
b. 11 C 5 ___________________
2. What is the probability of someone correctly guessing your Social Security number on the first attempt? (Assume all digits 0-9 are available for use) (Hint: does order matter?)
Answer: _____________________________
3. A jar contains 7 red, 9 white, and 8 blue marbles. If a single marble is chosen at random, find the probability that the randomly chosen marble is:
Red ______________
White ______________
Blue OR red ______________
4. Multiple Choice: An assembly plant produces 40 lawn mowers; of those, 7 are defective. Prior to shipping the mowers to retailers, the company’s quality control department selects 10 of the 40 mowers at random for testing. The assembly plant will be shut down for troubleshooting if 1 or more mowers in the sample are found to be defective. What is the probability that the plant will be shut down?
Hint: find the complementary probability that 0 of the 10 lawn mowers selected out of the production lot of 40 (with its 7 defective mowers) are defective. The probability that plant shuts down if 1 or more mowers in sample are found defective: .
C.
D.
Answer: ___________
5. The following table shows the 2015 distribution of U.S. Senators by political party and gender:
MALES(M)
FEMALES(F)
TOTAL
DEMOCRATS (D)
30
14
44
REPUBLICANS (R)
48
6
54
INDEPENDENTS (I)
2
0
2
TOTALS
80
20
100
For a single Senator selected at random, use the table to find the following:
Probability that Senator is male and a Democrat: = _________
Probability that Senator is male or a Democrat: = _________
Probability that Senator is male given that he is a Democrat: = _________
Are the events “Females” and “Republicans” mutually exclusive? Using probability techniques, explain your answer. “Yes” or “No” answers without explanation, even if correct, receive no credit.
* * * * * * * * * * * * *
6. From a survey involving 1000 university students, a market research company found that 610 owned laptops, 200 owned cars, and 125 owned cars AND laptops. If a student is selected at random, what is the empirical probability that the student owns neither a car norAshliey Writer Quiz,Political Science,,
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