$$Boot time$($the time between the appearance of the Bios screen to the first file that is loaded in Windows$)$ on Madison Gagnon$$s personal computer follows an exponential distribution with a mean of $27$ seconds. What is the probability Madison$$s $$boot$$ will require:

Required:

Less than $15$ seconds?

Note: Round your answer to $4$ decimal places.

More than $60$ seconds?

Note: Round your answer to $4$ decimal places.

Between $30$ and $45$ seconds?

Note: Round your answer to $4$ decimal places.

What is the point below which only $10\%$ of the boots occur?

Note: Round your answer to $2$ decimal places.