A building contractor claims he can remove a 200 square foot kitchen and dining room in 40 week hours, plus or minus 5 hours (i.e., the mean and standard deviation, respectively). The work includes plumbing,

electrical installation, cabinets, flooring, painting, and the installation of new appliances. Assuming from past experience, that time to complete similar projects are normally distributed with mean and standard deviation as estimated above.

Please answer the following questions:

(a) What is the likelihood the project will be completed in less than 35 hours? .158

(b) what is the likelihood the project will be competed between 28 hours and 32 hours? .046

(c) What is the likelihood the project will be completed between 35 hours 48 hours? .796