To evaluate the given probability we proceed as follows: The z-score is given by: z=(x-μ)/σ where: μ-mean σ-standard deviation from the question: mean=272, sig=15 but the sample is n=36, thus we shall have: √σ/n =15/√36 =2.5 thus the z-score will be as follows: x=272 z=(272-272)/2.5=0 x=274 z=(274-272)/2.5==0.8 thus P(272<x<274) =P(z<0.8)-P(z<0) =0.7881-0.5 =0.2881 Hence the answer is 0.2881