Question 1191807
The sample distribution of weights of 39 passengers has a mean of 179.8 pounds and a sd of 37.6/sqrt(39)=6.020

so the probability the aircraft is NOT overloaded if 167 pounds or fewer is the average from a distribution of mean 179.8 and sd 6.020
z=(167-179.8)/6.020
z<-2.125
The probability of this occurrence is 0.0167. Therefore, the complement is the probability it is overloaded, and that is 0.9833, or 0.983