Question: Let be the input current to a transistor and be the output current. Then the current gain is proportional to . Suppose the constant of

Let be the input current to a transistor and be the output current. Then the current gain is proportional to

. Suppose the constant of proportionality is 1

(which amounts to choosing a particular unit of measurement), so that current gain . Assume X is normally distributed with and .

a. What type of distribution does the ratio have?

b. What is the probability that the output current is more than twice the input current?

c. What are the expected value and variance of the ratio of output to input current?

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