Final answer:
The events of being left-handed and being blue-eyed are independent, as one does not affect the probability of the other occurring. The expected value of a probability distribution with a mean of 7 is also 7.
Step-by-step explanation:
The question pertains to understanding different concepts of probability and statistics. Specifically, assessing whether the events of being left-handed and being blue-eyed are independent, and determining the expected value from a given probability distribution.
Being left-handed and being blue-eyed are likely to be independent events because the probability of a person being left-handed does not affect the probability of them being blue-eyed, and vice versa. Therefore, the correct answer is c. Independent.
When considering a probability distribution, the expected value is the same as the mean of that distribution. If a given probability distribution has a mean of 7, regardless of other statistics like median and standard deviation, the expected value is also 7. So the correct answer for the expected value is b. 7.