Suppose that f(x)=e^{-x} for 0 < x. Determine the cumulative distribution function. Find the value of the cumulative distribution function at x=2.17. Round answer to 3 decimal places.

The correct answer is 0.886.

Step-by-step explanation:

An exponential function with parameter K is given by

g (x) = K × for x > 0.

If we put the value of K = 1, we get the given function f (x) = for x > 0.

Now the cumulative distribution of an exponential function g is given by integrating the function g with respect to x.

G (x; K) = 1 - for x > 0.

The cumulative distribution function of f is given by

F (x; K) = 1 - for x > 0.

The value of cumulative function at x = 2.17 is given by 0.886.

10 miles

step-by-step explanation: