The life time inyears of a television is a random variable T and its probability densityfunction is given by:■(f(t│θ)=〖Ae〗^(-t/θ) t≥0 θ≥0

Obtain A in terms of θ a. Obtain A in terms of .

b. Obtain the probability that T is less than 1 year interms of .

c. If the manufacturer, after some research finds that ofthe 5000 televisions sold 10 failed within the first year estimate and establish what percentage of televisionswould last longer than a 5 year guarantee period.

If two televisions are purchased what is the probabilityof 1 or more being replaced under guarantee.