What does the normal distribution graph and probability equal if P(x = μ) ?

SB2000

New member
Joined
Oct 13, 2021
Messages
1
I'm not too sure what the distribution and probability will look like/equal if P(x = μ). The mean is μ with a standard deviation of σ, that is x is N(μ,σ). I tried looking through a textbook for the answer but I got nowhere, I also need to sketch what the distribution would look like.hw ehlp 2.jpg
 

Dr.Peterson

Elite Member
Joined
Nov 12, 2017
Messages
12,402
I'm not too sure what the distribution and probability will look like/equal if P(x = μ). The mean is μ with a standard deviation of σ, that is x is N(μ,σ). I tried looking through a textbook for the answer but I got nowhere, I also need to sketch what the distribution would look like.View attachment 29211
This is asking for the probability that x is exactly equal to the mean. Think about what a continuous distribution means. See here, for example:

 
Top