6. Suppose that you have just purchased a new battery for your smoke detector, and the life of the battery is a random variable X, with probability density function (pdf) fx(x) = k✖exp
(i.e.,fx(x) = ke
) where x ∈ (0,∞). Assume that t and s are real non-negative numbers.
(b) Find an expression for P(X≥ t).
Answer= __(P)__.