Final answer:
The values that the random variable may take on are integers between 1 and 10. The distribution for X is a uniform distribution. To find the probability of a range of questions being posted, calculate the cumulative probability from the uniform distribution.
Step-by-step explanation:
The values that the random variable may take on are integers between 1 and 10. In this case, it is a vector x of 20 integers randomly drawn from all the integers between 1 and 10.
The distribution for X is a uniform distribution because each value from 1 to 10 has an equal chance of being selected.
The probability of having from 10 to 14-inclusive questions posted to the listserv on a randomly picked day can be found by calculating the cumulative probability of selecting 10, 11, 12, 13, and 14 from the uniform distribution.