Cheap-As-Dirt Rental Company advertises that the average cost of a rental they find for undergraduate students at the University of Oregon is $550 with a standard deviation of $80 (Let us assume the rents are approximately Normally distributed.) The Department of Consumer Protection will investigate the company if, when they choose a sample of students, they find that the average rental cost for those students is $610 or more. (a) Assuming that the company is advertising truthfully, what is the probability that the company will be investigated if the Department of Consumer Protection only samples one client?(b) Assuming that the company is advertising truthfully, what is the probability that the company will be investigated if the Department of Consumer Protection samples 10 clients?(c) Assuming that the company is advertising truthfully, what is the probability that the company will be investigated if the Department of Consumer Protection samples 50 clients?