0 votes 0 votes What is the probability that a Normal random variable differs from its mean $\mu$ by more than $\sigma$ ? Probability gravner probability engineering-mathematics random-variable normal-distribution + – Pooja Khatri asked Sep 26, 2018 retagged Oct 31, 2018 by Mk Utkarsh Pooja Khatri 621 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes There is a 68–95–99.7 rule for a normal random variable. Beyond one standard deviation, we have 31.8% of the points. smsubham answered Jun 4, 2020 smsubham comment Share Follow See all 2 Comments See all 2 2 Comments reply Hradesh patel commented Jun 4, 2020 reply Follow Share What u said...I don't understand 0 votes 0 votes smsubham commented Jun 4, 2020 reply Follow Share Read this: https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes For standard Random normal distribution variable, the graph looks like this Normal random variable differs from its mean μ by more than σ = (same as saying) = Area under the graph (-infinity to σ) + (σ to infinity)= 100-68.26 = 31.74 i.e. probability of 0.3174 reboot answered Jan 9, 2021 reboot comment Share Follow See all 0 reply Please log in or register to add a comment.