1. The problem statement, all variables and given/known data Hello all, I created a predictive model from a data set of observed values and am looking for probabilities for accuracy. Data set A (observed) and data set B (predictive model) have a correlation of 84 % using linear regression. Data set A and B are both normally distributed, also for every predicted B value there is an assigned A value for prediction mapping. Ex: B model produces a score for a data point of 420 and the closest A score to that is 410. Now, let's say in the future this data point is able to be observed (let's call this F.) What is the probability that F is in between 410 and 420. 2. Relevant equations P(410<F<420). A and B are two separate normal distributions with two different means and standard deviations. 3. The attempt at a solution I found the probability of A for 410 in the first normal distribution (let's say P(A)=0.56) then I found the probability of B for 420 in the second normal distribution (let's say P(B)=0.67) I then subsracted P(B)- P(A) to get 0.11. Then I substrated 1-0.11 to get 0.89. So the probability that F is going to be in the range of 410 to 420 is 89%. I am not sure if I'm doing this right . Thanks in advance.