Question

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 help answer the question.

Answer 1

Answer:

we over weighted suitcase will be 46.9889 pound

Step-by-step explanation:

We have given the average weight of passenger's suitcase $\mu =45\ pounds$

Standard deviation $\sigma =2\ pounds$

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

So probability $p=0.84$

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

We know that $z=\frac{x-\mu }{\sigma }$

$0.99445=\frac{x-45}{2}$

x = 46.9889 pound

So we over weighted suitcase will be 46.9889 pound