A SEAL Team is preparing for a $6-$month deployment and is working on developing a plan for the outboard motors used in their $15$ Combat Rubber Raiding Craft $($CRRCs$).$ One outboard is used for each CRRC$.$ An outboard motor has an MTBF of $1,500$ hours. Each motor is expected to be used $30$ hours per month of deployment. Once on deployment, it will be very difficult to acquire a new outboard motor so the skipper is demanding a $98\%$ chance to have enough outboard motors to execute the mission successfully.

a$.$ What is the probability $($accurate to $4$ digits after the decimal point$)$ that $2$ or more of the outboard motors used during this deployment will fail? Assume that a motor cannot fail more than once during this deployment.

b$.$ How many spare motors should be brought on this deployment to satisfy the skipper request?

c$.$ What is the maximum protection level $($accurate to $4$ digits after the decimal point$)$ that the skipper must accept if only $3$ spare motors are available to support this deployment?