A normal distribution has a mean of 80 and a standard deviation of 12 what is the probability of selecting a value between 70 and 85

Question

A normal distribution has a mean of 80 and a standard deviation of 12 what is the probability of selecting a value between 70 and 85

Answer 1

a normal distribution has mean = 80, standard deviation =12

what is the probability of selecting a value between 70 and 85?

calculate the z scores for 70 and 85

z = (85-80)/12 = 5/12, z=(70-80)/12 = 010/12 = -5/6

calculate the area under the curve from z = -5/6 to 5/12

take that area and multiply by 100 to get the percentage