Distributions

Question 1

What is exponential distribution?

Answer 1

a continuous probability distribution that describes the time between events in a poisson point process

Question 2

What is poisson point process

Answer 2

events occur independently and continuously at a constant average rate

Question 3

When can a variable be said to have exponential distribution?

Answer 3

When the PDF of X = λe^-λx given that x>0

Question 4

What is the reason for the popularity of the application of exponential distribution

Answer 4

the memoryless property of the Exponential distribution.

Question 5

What does λ determine

Answer 5

The steepness of the curve

Question 6

What does a large value of λ mean

Answer 6

that the curve will be steeper, which means that the probability of a shorter time between events is higher

Question 7

How is E(X) calculated

Answer 7

1/ λ

Question 8

How is V(X) calculated

Answer 8

(1/λ)^2

Question 9

What is the standard deviation equal to

Answer 9

the mean

Question 10

P(X ≤ x) = ?

Answer 10

1 - e^-λx

Question 11

P(X > x) = ?

Answer 11

e^-λx