In: Statistics and Probability
What is the probability that a normal random variable with mean 2 and standard deviation 4 will be less than 3?
Given Mean = 2
Standard Deviation = 4
Probability that the normal random vairable will be less than 3
We need to find P(X < 3)
z-score = (X - ) /
= (3 - 2) / 4
= 1/4
= 0.25
The area to the left of z-score 0.25 will give us P(X < 3) which can be found from the below attached table
P(X < 3) = 0.59871