the moment generating function for the exponential function, f(x) = !! 0, elsewhere Hence show that E(X) = o (X) =0 (11)The length of time for telephone conversation (minutes) is exponentially distributed. The mean length of conversation is 3 minutes. What is the probability that the conversation lasts 2 minutes or less?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 51E
icon
Related questions
Question
(b) (1) Obtain the moment generating function for the exponential function,
f(x)=
!!
0, elsewhere
Hence show that E(X) o (X) - 0
(1)The length of time for telephone conversation (minutes) is exponentially distributed. The
mean length of conversation is 3 minutes. What is the probability that the conversation
lasts 2 minutes or less?
Transcribed Image Text:(b) (1) Obtain the moment generating function for the exponential function, f(x)= !! 0, elsewhere Hence show that E(X) o (X) - 0 (1)The length of time for telephone conversation (minutes) is exponentially distributed. The mean length of conversation is 3 minutes. What is the probability that the conversation lasts 2 minutes or less?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Multivariate Distributions and Functions of Random Variables
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage