Question 1092102
z=(x-mean)/sd, used for the whole problem.
z< (27-38.8)/7.7=-11.8/7.7=-1.53
That probability is 0.0630 or 6.30%
-------------------
between 27 and 35 requires z for 35 which is (35-38.8)/7.7 or -3.8/7.7=-0.49
z between -1.53 and -0.49 is 0.2491 or 24.91%
------------------
between 27 and 43 requires z for 43 which is (43-38.8)/7.7=4.2/7.7=0.55
the z between -1.53 and 0.55 is 0.6458 or 64.58%