The average weight of an airline passenger’s suitcases is 45 pounds with a standard deviation of 2 pounds. if 16% of the suitcases are overweight, find the maximum weight allowed by the airline. assume the variable is bell – shaped distributed. hint: sketch and label a normal model to answer the question.

we over weighted suitcase will be 46.9889 pound

Step-by-step explanation:

We have given the average weight of passenger's suitcase

Standard deviation

16 % of the suitcase are overweight so 100-16 =84 % of the suitcase will pass without any problem

So probability

From z table at p =0.84 z will be z=0.99445

We know that

x = 46.9889 pound

So we over weighted suitcase will be 46.9889 pound