It is customary to calculate the MTBF $($Mean Time between failures$)$ for each component in a system and the MTBF of the system is given by the following formula.

$MTBF=\frac{1}{\frac{1}{MTB{F}_1}}+\frac{1}{\frac{1}{MTB{F}_2}}+$cdotscdots$\frac{1}{\frac{1}{MTB{F}_n}}$

$MTB{F}_1,MTB{F}_2$ represents Mean time failure of the subcomponents. Write a function to determine the overall MTBF of the system.

Test your program for a radar system consisting of an antenna subsystem with an MTBF of $2000$ hours, a transmitter with an MTBF OF $800$ hours, a receiver with an MTBF of $3000$ hours and a computer with an MTBF OF $3000$ hours $(8$ marks$)$