7 A new integrated computer system is to be installed worldwide for a major corporation - Bods on this project are being solicited, and the contract will be awarded to one of the bidders . As a part of the proposal for this project , bidders must specify how long the project will take . There will be a significant penalty for finishing late . One potential contractor determines that the average time to complete a project of this type is 40 weeks with a standard deviation of weeks . The time required to complete this project is assumed to be normally distributed a) If the due date of this project is set at 40 weeks , what is the probability that the contractor will have to pay a penalty .b ) If the due date of this project is set at 43 weeks , what is the probability that the contracter will have to pay a penalty ( ) If the bidder wishes to set the due date in the proposal so that there is only a 51. chance of being late , what due date should be set