Question

A) Is it a function? (Circle one)

A) Yes
B) No

B) Why or why not?

C) State the domain using interval notation:


D) State the range using interval notation:

Answer 1

The graph of f(x)= is a horizontal line restricted to the portion between x=0 and x=20. The random variable may take on any value between 0 and 20. The distribution for X is uniform, and the probability of posting 10 to 14 questions can be calculated.

Step-by-step explanation:

The graph of f(x) = is a horizontal line. However, since 0 ≤ x ≤ 20, f(x) is restricted to the portion between x = 0 and x = 20, inclusive.

b. The random variable may take on any value between 0 and 20, inclusive.

c. The distribution for X is uniform, as each value between 0 and 20 has an equal probability of occurring.

d. To find the probability that from 10 to 14-inclusive questions are posted to the listserv on a randomly picked day, we calculate the cumulative probability by summing the probabilities of posting 10, 11, 12, 13, and 14 questions.