Question

Which value for x gives us nice whole number outputs?

f(x) = VX-1
(Select all that apply.)
A. 0
B. 1
C. 2.
D. 3
E. 4
F. 5

Answer 1

The values of x that give us nice whole number outputs for f(x) = sqrt(x-1) are 0, 1, and 2.

Step-by-step explanation:

X takes on the values 0, 1, 2, 3, 4, 5. This is a discrete PDF because we can count the number of values of x and also because each P(x) is between zero and one and the sum of the probabilities is one. Given the function f(x) = sqrt(x-1), we need to find the values of x that result in nice whole number outputs. Evaluating the function for each value of x, we find that f(1) = 0, f(2) = 1, f(3) = sqrt(2), f(4) = sqrt(3), f(5) = sqrt(4). Therefore, the values of x that give us nice whole number outputs are A. 0, B. 1, and C. 2.