Question

The pregancy length in days for population of new mothers can be approximated by a normal distribution with a mean 265 days and standard deviation of 12 days.

SPELL Homework: Review for Test 2 25 of 25 (20 complete) Score: 0.5 of 1 pt * 5.3.38-T The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 265 days and a standard deviation of 12 days (a) What is the minimum pregnancy length that can be in the top 12% of pregnancy lengths? (b) What is the maximum pregnancy length that can be in the bottom 4% of pregnancy lengths? (a) The minimum pregnancy length is days (Round to one decimal place as needed) Enter your answer in the answer box and then click Check Answer 1 part remaining е

Answer 1

Sol u = 265 ,5=12 (a) P(272) = 0.12 z = 1.175 where z= x-u = 1.175 = X-265 12 : x= 2615 + 14.1 = 279.1.2 279 days. (b) P(Z <z) = 0.04 z = -1.751 where z = x- -1.751 = X-265 ja >>-21.012 = 2-265 » x=244 days. Scanned with CamScanner