1. In 2015, a fish hatchery had tanks that can hold 1200 trout each. Before the trout are released, the fish must be at least 12 inches in length. A worker catches and measures 100 fish. If their average length is at least 12 inches, then the entire tank is released.

(Please use the drop-down menus to answer each question.)

a. In this scenario, what numerical value represents the population under study? [ Select ] ["2015", "12", "1200", "100", "average length"]

b. In this scenario, what numerical value represents the sample used for the study? [ Select ] ["2015", "12", "1200", "100", "average length"]

c. What data type is the worker gathering? [ Select ] ["qualitative", "quantitative discrete", "quantitative continuous", "qualitative discrete", "qualitative continuous"]

d. What level of measurement does this type of data have? [ Select ] ["nominal", "ordinal", "interval", "ratio"]

2. The administrative team at a hospital wants to get feedback from their employees about working conditions.

Pick a random sampling method (SRS, systematic, stratified, or cluster) and describe how to use it in this scenario to collect a sample of hospital employees. Your description should show understanding of the method you chose and be in the context of this scenario - not just a definition of the type of sampling.

3. A 7-character account password is made up using choices from 14 different letters and 3 different numbers.

The passcode must start with four numbers and end with three letters. If repetition of the characters is allowed, then how many possible passcodes are there?

4. 6 quarters are flipped. What is the probability that the result is 4 heads and 2 tails? (Show correct probability notation on your work. Round your answer to 4 decimal places.)