# Using calculus, it can be shown that the area under the exponential distribution curve is P(X = x) =

- September 24, 2021 /
- ecommerce Development, web development, Software Development, Online marketing, Magento, Ecommerce

Using calculus, it can be shown that the area under the

exponential distribution curve is

P(X ≤ x) = 1 – e^{–kx}.

a) What is the maximum value of P(X ≤ x)?

For what value of x does this maximum occur?

b) Use this equation for P(X ≤ x) to determine the

accuracy of the estimates for P(X ≤ 3) in Example 2.

c) Account for the difference between the estimates and the

value calculated using the equation above.

d) How could you improve the accuracy of the estimates?