1. The time (in hours) until failure of a transistor is a random variable X which is exponentially distributed with mean = 50. It is observed that after 40 hours the transistor is still working. Find the conditional probability that X > 65.
2. Wires manufactured for the use in a computer system are specified to have resistances between 0.12 and 0.14 ohms. The actual measured resistances of the wires produced by company A have a normal distribution with a mean of 0.13 ohm and a standard deviation of 0.005 ohm. Find the probability that a randomly selected wire from company A's production will meet the specifications.
(1) Lambda = 1/50 = 0.02
Since the exponential distribution is memoryless, P(x > s ...
Complete, Neat and Step-by-step Solutions to Questions 1 and 2 are provided.