A continuous random variable X has a uniform distribution between 10 and 20 (inclusive),then the probability that X falls between 12 and 15 is 0.30.

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Quizplus · Accepted Answer

This statement is true according to the properties of the uniform distribution. The probability of a continuous random variable falling within a given interval is proportional to the length of that interval, and since the possible values of X are uniformly distributed between 10 and 20, the length of the interval from 12 to 15 represents 3/10 of the total interval length, making the probability 0.3.

A Continuous Random Variable X Has a Uniform Distribution Between