Suppose a continuous random variable X is uniformly distributed with 0≤X≤20. What is P(0≤X≤5). Give a decimal answer

Question

anonymous · Answer

Judging by the given info, it sounds like the density function is
$$f(x)=\begin{cases}\dfrac{1}{20}&\text{for }0\le x\le20\\0&\text{otherwise}\end{cases}$$
The probability is given by the integral,
$$P(0\le X\le 5)=\int_0^5f(x)~dx$$
Alternatively, if you'd prefer a pre-calculus approach, you can consider the density function graphically:
|dw:1414048230324:dw|
The probability is the area of the shaded region.