Posted by **Doe** on Tuesday, December 11, 2012 at 7:33pm.

Suppose that the population of weights of airline passengers has mean 150 lbs. and standard deviation 25 lbs. A certain plane has a capacity of 7,800 lbs.

(a) What is the probability that a flight of 50 passengers will exceed capacity it?

(b) If we wish to reduce the chance of overload to 0.01, how much must the capacity be increased?