$2.$ Consider a logic circuit. It is known to have a decreasing failure rate of the form:

$=(1/24)$ t $-1/3/$year

where $$t$$ is expressed in years. Determine the following:

a$)$ If the design life is one year, what is the reliability?

b$)$ If the design life is two years, what is reliability?

c$)$ If the component undergoes wear$-$in for one month before being put into operation, what will the reliability be for a one$-$year design life?