Problem 5. (i) Let X be a random variable such that log X is normally distributed with mean u and variance o. What is the probability of X < a, P(X < a)? (You need to write the expression P(X < a) in terms of a ad o ) (ii) Let X1,..., X, be independent normally distributed random variables and denote the mean of X, with , and its variance with of What is the distribution of Xị +...+ X,?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

need this answer within 1 hour 30 minutes step wise step and correctly 

Problem 5. (i) Let X be a random variable such that log X is normally distributed with mean
u and variance o. What is the probability of X < a, P(X < a)? (You need to
write the expression P(X < a) in terms of u ad o)
(ii) Let X1,..., X, be independent normally distributed random variables and denote
the mean of X, with , and its variance with of What is the distribution of
Xị +...+ X,?
Transcribed Image Text:Problem 5. (i) Let X be a random variable such that log X is normally distributed with mean u and variance o. What is the probability of X < a, P(X < a)? (You need to write the expression P(X < a) in terms of u ad o) (ii) Let X1,..., X, be independent normally distributed random variables and denote the mean of X, with , and its variance with of What is the distribution of Xị +...+ X,?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer