My Math Forum  

Go Back   My Math Forum > College Math Forum > Advanced Statistics

Advanced Statistics Advanced Probability and Statistics Math Forum

Thanks Tree1Thanks
  • 1 Post By romsek
LinkBack Thread Tools Display Modes
May 2nd, 2017, 05:18 AM   #1
Joined: Apr 2017
From: London

Posts: 4
Thanks: 0

Stuck on probability distribution of a normal distribution problem
Any ideas on how to approach part iii? Thanks alot
faker97 is offline  
May 2nd, 2017, 10:51 AM   #2
Senior Member
romsek's Avatar
Joined: Sep 2015
From: USA

Posts: 2,531
Thanks: 1390

you should know that if two normal random variables

$X \sim N(\mu_x, \sigma_x),~Y \sim N(\mu_y, \sigma_y)$


$X + Y \sim N\left(\mu_x+\mu_y,\sqrt{\sigma_x^2 + \sigma_y^2}\right)$


$c X \sim N(c \mu_x, c \sigma_x)$

so the mean of $N$ identically distributed normal random variables, $X$, will be distributed as

$\bar{X} \sim N\left(\mu_x, \dfrac{\sigma_x}{\sqrt{N}}\right)$

this should let you complete part 3
Thanks from faker97
romsek is offline  

  My Math Forum > College Math Forum > Advanced Statistics

distribution, normal, probability, problem, stuck

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Probability in normal distribution Alex010 Probability and Statistics 3 May 10th, 2016 01:23 PM
Normal/Standard Probability Distribution Ore0Kidd Probability and Statistics 1 March 4th, 2016 02:06 PM
Normal distribution: a probability distribution? froydipj Probability and Statistics 3 February 29th, 2016 04:35 PM
Multivariate normal distribution and marginal distribution nakys Advanced Statistics 0 October 3rd, 2013 08:27 AM
probability and standard normal distribution agcliff09 Advanced Statistics 3 November 11th, 2007 10:37 AM

Copyright © 2019 My Math Forum. All rights reserved.