Since we have a normal population we can use the standard normal table to compute this probability.
If x is a member of the population, we are trying to find P(x > 185).
We need to standardize x to the z-statistic (x-mean)/standard deviation:
P(z > (185-176)/38) = P(z > 0.237).
The normal tables are cumulative (to the left) giving probabilities less than. Since the normal distribution is symmetric:
P(z > 0.237) = P(z < -0.237). From the table, that is equal to -0.406
