Final answer:
To calculate the probability of a continuous random variable being within a certain range, one must find the area under the curve of its distribution between two points, which can vary based on the distribution type.
Step-by-step explanation:
The question relates to calculating the probability that a continuous random variable falls within a given range. The method of finding this probability depends on the type of distribution the random variable follows. For a uniform distribution, the probability is the area under the curve between the two specified points. In a normal distribution, one would use the standard normal distribution table or a calculator to find the z-scores and corresponding probabilities. For example, if we have a uniform distribution between 1.5 and 4, and we're interested in the probability that the random variable falls between 2 and 4, we would shade that area on the graph representing the distribution and calculate it as the length of the interval (4 - 2) divided by the length of the entire span of the distribution (4 - 1.5).