Final answer:
To find the probability P(0 < x < 12) for the function f(x) = 12, which is a horizontal line between x = 0 and x = 12, we need to calculate the area under the curve. Since the function is a rectangle with length 12 and height 12, the probability is equal to the area of the rectangle, which is 144.
Step-by-step explanation:
The question asks for the probability P(0 < x < 12) given the function f(x) = 12 for 0 ≤ x ≤ 12, which is a continuous probability function. To find this probability, we need to find the area under the curve of the function between x = 0 and x = 12. Since the function is a horizontal line at f(x) = 12, the area under the curve is a rectangle with base length 12 and height 12. Therefore, the probability P(0 < x < 12) is equal to the area of the rectangle, which is length x width = 12 x 12 = 144.