Question $1$

A disk rotates at $7200$ RPM and can transfer $150$ MB$/$s of data from its outer track. What is the maximum number of bytes of data that a single outer track can hold? Show your calculations, state any assumptions, and show your work so we can see how you derived your answer.

Question $2$

Given an average seek time of $5$ms$,$ a rotational speed of $10,000$ RPM$,$ and a transfer rate of $200$ MB$/$s$,$ how long does a $65536-$byte random read request take, in milliseconds, on average? What if average seek time is $12$ms and rotational speed is $5400$ RPM$?$ Show your calculations, state any assumptions, and show your work so we can see how you derived your answer.

Question $3$

If a system has an estimated mean time between failures of $20,000$ days, what is its expected annual reliability expressed as a probability?

Question $4$

A power control system is required to have an availability of at least $99\mathrm{.}995\%$ in accordance with regulations. The systems development team has conducted empirical testing and derived an mean time to restore of $1\mathrm{.}5$ hours and an mean time between failure of $3\mathrm{.}1667$ years. Will the system meet the expected availability?