Please help me to solve this problem step by step.

(14.44) = (14.44-10)/[4.45/sqrt(35)] = 4.44*sqrt(35)/4.45

If the mean number of cigarettes smoked by pregnant women is 16 and the standard deviation is 8, find the probability that in a random sample of 100 pregnant women the mean number of cigarettes smoked will be greater that 24.