Check first the schedulability if the following list of tasks

$\backslash$table$[[$Task$,$Period $($T$\_($i$)($ms$)),$Computation time $($C$\_($i$)$ms$),$Priority,Utilisation $($U$)],[$a$,1000,1,1($Low$),0\mathrm{.}001],[$b$,500,1,2,0\mathrm{.}002],[$c$,10,1,3($High$),0\mathrm{.}1]]$

The slowest task is a UART task where $2$ numbers should be sent to the terminal of the host computer to be monitored.

Define a global array of slze $50$ to be used as a common memory resource between the tasks.

it is required to implement a multi$-$task RT embedded system on a single processor

Arduino on which FreeRTOS OS should be running. The list

of task with their priorities should be executed as shown in the table below.

$$ The fastest task i$.$e$.$ task c generate a sequence of $50$ random numbers $($you may benefit from the

example of code snippet given below $).$ The $50$ numbers should be passed to the task b using a

Mutexe so that no other task can change the global array before filling it completely by the task c$.$ In task b the average will be found and passed to task a through another global array of size two.

$$ The task a then sends the two average temperatures to the terminal using the UART for monitoring.

Along with this operation the task should toggle the green LED on the board each time the

task is executed.

$$ For each one of the tasks b and c define a GPIO $($output$)$ to show the start and the end of the task

execution as follows. When the task starts to execute the GPIO is SET and when the execution is

finished the GPIO is RESET. This will help with the use of an oscilloscope to observe the different

task execution times Ci$.$