Final answer:
Due to the lack of a concrete function provided in the question, we cannot determine the intervals of uniform or non-uniform convergence. For the continuous probability distribution, the probability equals the area under the distribution's curve.
Step-by-step explanation:
Discussing uniform convergence typically involves functions that converge to a limit function as a parameter (often denoted as n or x) approaches infinity or some other value.
Uniform convergence on an interval means that the sequence of functions fn(x) converges to a limit function f(x) and that the rate of convergence is the same across the entire interval.
Convergence is not uniform if the rate of convergence varies across the interval. However, based on the provided information, a specific function fn(x) was not given, so we cannot determine the interval of uniform convergence or non-uniform convergence without additional context.
For a continuous probability distribution, such as the uniform distribution given by f(x) = 1/10 for 0 ≤ x ≤ 10, the probability of an event is equal to the area under the curve of the distribution within that interval.
For example, for the question P(0 < x < 4), this probability can be calculated as the area under the curve from x = 0 to x = 4, which is 4/10 or 0.4. The probability P(x > 15) is 0 since the distribution is only defined for 0 ≤ x ≤ 15.