How Do You Calculate Probability for a Normally Distributed Variable?

[twrtoad]

P(10≤x≤12)
σ=2,μ=11
x= a normally distrributed random variable

I don't even know where to begin to solve this. I was hoping someone could show me how and explain it to me like I am a 6 year old.
thanks everybody in advance.

 

[mathman]

Let y = (x-μ)/σ. Then y is a standard normally distributed random variable. The domain of interest is then -1/2≤y≤1/2. Look up a table for the standard normal distribution to get the answer.