I am trying to answer question related to normal distribution with Z score but I get confused on my answer. The comparison values seems to be higher than mean or SD and I wonder if this example is correct.Question:America Online advertised job for Senior System Analyst and 800 applications applied for the position. The interview results were found to be normally distributed with mean of 40 marks and a standard deviation of 26 points. How many applicants obtained between 160 and 180 points?America Online advertised job for Senior System Analyst and 800 applications applied for the position. The interview results were found to be normally distributed with mean of 40 marks and a standard deviation of 26 points. How many applicants obtained between 160 and 180 points?

My answer (incomplete though):Z = (χ - μ ) / σ

where:

μ = 40 (mean)

σ = 26 (standard deviation)

For χ = 160

Z_{160}= (160-40)/26

Z_{160}= 4.62

For χ = 180

Z_{180}= (180-40)/26

Z_{180}= 5.38

P(160< χ<180) = P(4.62<Z<5.38)here is were I got lost on getting right values from table