FINDING THE PROBABILITY

Question

THIS IS A STATISTICS PROBLEM FROM AN ELEMENTARY STATISTICS BOOK. a ferry will saffely accomadate 66 tons of passenger cars. assume that the mean weight of a passenger car is 1.7 tons with standard deviation 0.5 tons. if a random sample of 36 cars are loaded onto the ferry, what is the probability tht the maxiumum sage weight will be excedded

Answer 1

n=36, Mean= 1.7, std=.5

P(x>66)=1-P(x<66)=1-P(z<(66-1.7)/(.5/√36))=1-P(z<771.6)=1-1=0. This means there is zero chance for it to exceed the maximum weight.