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.
(a) Use the properties of a pdf to find the value of k.
Answer=__(O)__.