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If x has distribution function f, what is the distribution function of eˣ?

User Klikster
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Final answer:

The distribution function of eˣ can be determined by finding the cumulative distribution function (CDF) of x and then substituting eˣ for x.

Step-by-step explanation:

The distribution function of eˣ can be determined by finding the cumulative distribution function (CDF) of x and then substituting eˣ for x.

Let's say the distribution function of x is f(x).

The CDF of x, denoted as F(x), is defined as P(X ≤ x), where X is the random variable associated with x.

To find the CDF of eˣ, we substitute eˣ for x in the CDF of x:

F(eˣ) = P(X ≤ eˣ).

By substituting eˣ for x in the distribution function f(x) of x, we get the distribution function of eˣ as f(eˣ).

User Malber
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