Question: how to calculate the probability using mean and standard deviation?
Answer: We know that the probability P(X > 75) is equal to 1 – P(X ≤ 75), so we can use a table to find P(X ≤ 75). ...  P(Z ≤ 0.5) = 0.6915. Now we can calculate P(X > 75). P(X > 75) = 1 – P(X ≤ 75) = 1 – P(Z ≤ 0.5) = 1 – 0.6915 = 0.3085.