Question

question 1
it is appropriate to use the uniform distribution to describe a continuous random variable x when
the area under the probability curve = 1.
the probability curve f(x) > 0.
the shape of the histogram of all possible values of x is nonsymmetrical.
relative frequencies of all possible values of x are about the same.

Explanation:

The uniform distribution assumes that all values of the random variable within a certain interval are equally likely. This means the relative frequencies (probabilities) of all possible values of \(x\) are about the same. The area under any probability curve is always \(1\) (a general property of probability distributions, not specific to uniform). The probability density function \(f(x)>0\) is also a general requirement (not unique to uniform). The shape of the histogram being non - symmetrical is not a characteristic of the uniform distribution (uniform has a rectangular - like, symmetrical in its defined interval shape).

Answer:

relative frequencies of all possible values of \(x\) are about the same.