Question $2$: MANDATORY

Mean time between failure $($MTBF$)$ calculations:

The reliability of a piece of electronic equipment is usually measured in terms of mean time between failures $($MTBF$)$ where MTBF is an average time that the piece of equipment can operate before failure can occur. For large systems containing many pieces of electronic equipment, it is customary to determine the MTBF of each component and then to calculate the overall MTBF of the system from the failure rates of the individual comporients. If the components $($or sub systems$)$ are placed in series then every component $($or ia subsystem$)$ must work in order for the whole system to operate.

If the overall MTBF is giveir toy the following expression

$\backslash [$

M T B F$\_\{\backslash$text $\{$system $\}\}=\backslash$frac$\{1\}\{\backslash$frac$\{1\}\{$M T B F$\_\{1\}\}+\backslash$frac$\{1\}\{$M T B F$\_\{2\}\}+\backslash$frac$\{1\}\{$M T B F$\_\{3\}\}\backslash$cdots$+\backslash$frac$\{1\}\{$M T B F$\_\{$n$\}\}\}$

$\backslash ]$

Write a user defined function that receives the number of components, and MTBF in hours fior each component and returns equivalent MTBF for the system. Limit the number of components to no more than $10.$ Write equation carefully!

Use the following sample data to test your function.

i$)$ Radar system consisting of antenna subsystem with an MTBF of $\backslash (2$: $000\backslash )$ hours

ii$)$ A transmitter with an MTBF of $800$ hours,

iii$)$ A receiver with an Mitibr of $3000$ hours and

iv$)$ A computer with MTBF of $5000$ hours.

The main script$/$program should echo $($display on the screen$)$ the following:

the total number of components, component names and MTBF for each and, equivalent MTBF on a separate line.

function file lastname$\_$mtbf$.$m

Main script file name: lastname$\_$mtbf$.$m