Question

The maximum of two numbers, denoted as max{a,b}, can be defined using a piecewise function as follows:

max{a,b}={a if a≥b ]
[ b if a

Answer 1

The question deals with the concepts of maximum value functions and probability in the form of uniform distribution, important in high school mathematics.

Step-by-step explanation:

The initial question pertains to the definition of max{a,b}, which is a common topic in high school mathematics. However, the subsequent fragments seem to describe different aspects of probability and uniform distribution, stating that for a variable X which follows a uniform distribution between a (the lowest value) and b (the highest value), there are specific properties and functions for calculating probabilities, such as the probability density function, and cumulative distribution functions. For a uniform distribution, the probability density function (pdf) is constant between a and b, defined as f(x) = 1/(b-a) for a ≤ x ≤ b. Areas under the probability density function curve represent probabilities of the variable falling within particular intervals.