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Given f(x) = {(4 – x), what is the value of f (3)?

User Ilyas
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Final answer:

The value of f(3) for the function f(x) = 4 - x is 1. For continuous probability distributions, probabilities such as P(x > 3) are calculated using integration over the specified interval.

Step-by-step explanation:

The student asked for the value of f(3) when given a function f(x) but did not provide the complete function. However, taking a common mathematical function as an example, if f(x) = 4 - x, we can calculate f(3) by substituting 3 for x. So f(3) = 4 - 3 = 1. As the specifics of the function were not provided in this case, I just covered a typical scenario.

For probability questions involving a continuous probability function like f(x), the probability P(x > 3) would be found by integrating the function from 3 to the upper bound of the defined interval. Similarly, the probability P(0 < x < 12) for a function defined over the interval [0, 12] would require integration over the interval (0, 12).

User Ian Gilham
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