Find the probability that a given chip is stolen

Reference no: EM131971528

1. It is reported that 50% of all computer chips produced are defective. Inspection ensures that only 5% of the chips legally marketed are defective. Unfortunately, some chips are stolen before inspection. If 1% of all chips on the market are stolen, find the probability that a given chip is stolen given that it is defective.

2. As society becomes dependent upon computers, data must be communicated via public communication networks such as satellites, microwave systems, and tele-phones. When a message is received, it must be authenticated. This is done by using a secret enciphering key. Even though the key is secret, there is always the probability that it will fall into the wrong hands, thus allowing an unauthentic message to appear to be authentic. Assume that 95% of all messages received are authentic. Furthermore assume that only .1% of all unauthentic messages are sent using the correct key and that all authentic messages are sent using the correct key. Find the probability that a message is authentic given that the correct key is used.

Reference no: EM131971528

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