Final answer:
The probability that x is between 3 and 6, given the function f(x) = (1/10)e^(-x/10), is approximately 0.6065.
Step-by-step explanation:
To find the probability that x is between 3 and 6, we need to calculate the area under the curve of the function f(x) = (1/10)e^(-x/10) in this interval. This requires integrating the function from 3 to 6.
Using calculus, the integral of f(x) in this interval is approximately 0.6065. Therefore, the probability that x is between 3 and 6 is approximately 0.6065.