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 May 2nd, 2017, 05:18 AM #1 Newbie   Joined: Apr 2017 From: London Posts: 4 Thanks: 0 Stuck on probability distribution of a normal distribution problem https://gyazo.com/921c2e7fd4ace575e11c5fc0afcedee0 Any ideas on how to approach part iii? Thanks alot May 2nd, 2017, 10:51 AM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,531 Thanks: 1390 you should know that if two normal random variables $X \sim N(\mu_x, \sigma_x),~Y \sim N(\mu_y, \sigma_y)$ then $X + Y \sim N\left(\mu_x+\mu_y,\sqrt{\sigma_x^2 + \sigma_y^2}\right)$ and $c X \sim N(c \mu_x, c \sigma_x)$ 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 Tags distribution, normal, probability, problem, stuck Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Alex010 Probability and Statistics 3 May 10th, 2016 01:23 PM Ore0Kidd Probability and Statistics 1 March 4th, 2016 02:06 PM froydipj Probability and Statistics 3 February 29th, 2016 04:35 PM nakys Advanced Statistics 0 October 3rd, 2013 08:27 AM agcliff09 Advanced Statistics 3 November 11th, 2007 10:37 AM

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