Time felt LO A manufacturer produces laptops with variable quality. In fact, for each laptop, its quality level A has a Gamma distribution with shape parameter a > 0 and rate parameter B > 0, that is, A has density function Ba fA ( * ) : Ja-1e-BA r(Q) where I is the Gamma function. It is not necessary to know properties of the Gamma function to answer this question. If a laptop has quality level 1, then it crashes X times a day, where X has a Poisson distribution with parameter 1. Given that a laptop crashes a times today, what is the conditional probability density of A, fAIX ()| 20)