The manager of an IT store received a batch of USB drive. 5% of the boxes received are broken. The manager estimated that: 60% of the broken boxes contain at least one defective USB drive. 98% of the non-broken boxes do not contain any defective USB drive. A client comes to the store and buys one box. We let A the event "the box is broken" and D the event "the bought box contain at least a defective USB drive".

a) Comooute the following probabilities: P(A), P(Ac ), P(D|A), P(D|Ac ), P(Dc |A) and P(Dc |Ac ). Then deduce the calue of P(D).

b) The client notices that the USB drive that he bought is defective. What is the probability that this drive was bought from a broken box?

pur-new-sol

Related Questions