2. (a) A continuous random variable X has a exponential distribution with probability density function given by, if x 2 0 { fx (x) = if x < 0 where A is a positive constant. i. Find the mean of the distribution ii. Find the cumulative probability distribution of X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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question is attached as an image file. how to find the mean and the cumulative probability distribution of X?

2. (a) A continuous random variable X has a exponential distribution with probability density
function given by,
if x 2 0
{
fx (x) =
if x < 0
where A is a positive constant.
i.
Find the mean of the distribution
ii.
Find the cumulative probability distribution of X
Transcribed Image Text:2. (a) A continuous random variable X has a exponential distribution with probability density function given by, if x 2 0 { fx (x) = if x < 0 where A is a positive constant. i. Find the mean of the distribution ii. Find the cumulative probability distribution of X
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