There are five processes: P$1,$ P$3,$ P$5,$ P$7,$ and P$8.$

Assume at time $5,$ no system resources are being used except for the processor and memory. Now consider the following events:

At time $5$: P$1$ executes a command to read from disk unit $3.$

At time $15$: P$5$s time slice expires.

At time $18$: P$7$ executes a command to write to disk unit $3.$

At time $20$: P$3$ executes a command to read from disk unit $2.$

At time $24$: P$5$ executes a command to write to disk unit $3.$

At time $28$: P$5$ is swapped out.

At time $33$: An interrupt occurs from disk unit $2$: P$3$s read is complete.

At time $36$: An interrupt occurs from disk unit $3$: P$1$s read is complete.

At time $38$: P$8$ terminates.

At time $40$: An interrupt occurs from disk unit $3$: P$5$s write is complete.

At time $44$: P$5$ is swapped back in$.$

At time $48$: An interrupt occurs from disk unit $3$: P$7$s write is complete.

Now identify which state each process is in$.$

$(1)$ At time $=22,$

$(2)$ At time $=37,$

$(3)$ time $=47$

If a process is blocked, further identify the event on which it is blocked