When the exponential distribution probability is given as P(x ≤ 9 )= 1 − e−^9/18 the average value for x is A)18 B)9 C)9/18 D)1/2

Question

Quizplus · Accepted Answer

The average value (mean) of an exponential distribution is given by 1/λ, where λ is the rate parameter. In the given probability expression P(x ≤ 9) = 1 - e^(-λ*9), λ can be inferred as 1/18. Therefore, the average value for x is 1/λ = 1/(1/18) = 18.

When the Exponential Distribution Probability Is Given as P(x ≤