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

[SB2000]

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.

 

[Dr.Peterson]

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:

Statistics dictionary

Easy-to-understand definitions for technical terms and acronyms used in statistics and probability. Includes links to relevant online resources.

stattrek.com