The House Ways and Means Committee is considering lowering airline taxes. The committee has 38 members and needs a simple majority to pass the new legislation. If the probability that each member votes yes is 0.25, find the probability that the legislation will pass. (Assume independence.)
Given that taxes are reduced, the probability that Northwest Airlines will compete successfully is 0.7. If the resolution does not pass, Northwest cannot compete successfully. Find the probability that Northwest can compete successfully.