Jonah Arkfeld, a building contractor, is preparing a bid on a new construction project. Two other contractors will be submitting bids for the same project. Jonah has analyzed past bidding practices and the requirements of the project to determine the probability distributions of the two competing contractors. The bid from Contractor A can be described with a uniform distribution with a minimum value of $600,000, a maximum value of $800,000. The bid from Contractor B can be described with a normal distribution with a mean of $700,000 and a standard deviation of $50,000. (a) If Jonah submits a bid of $750,000, what is the probability that he will win the bid for the project? Round your answer to a one decimal percentage. %
(b) What is the probability that Contractor A and Contractor B will win the bid, respectively? Round your answers to a one decimal percentage.
Contractor A % Contractor B %