The lifetime in hours of a certain kind of radio tube is a

Reference no: EM13616308

The lifetime in hours of a certain kind of radio tube is a random variable with the probability density function given by

fx(X) {0: x ? 100

{100/x^2 : x>100

a) What is the probability that a radio tube will need to be replaced in the first 150 hours of operation?

b) There are 5 tubes in a radio set. What is the probability that exactly 2 of the 5 tubes will need to be replaced within the first 150 hours of operation?

c) What is the probability that a single radio tube will last between 200 and 500 hours?

d) The technician knows that a single radio tube lasted 1000 hours to this point. What is the probability that the tube will last no more than another 750 hours?

Reference no: EM13616308

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