Question: Let I, be the input current to a transistor and I, be the out- put current. Then the current gain is proportional to In(II). Suppose

Let I, be the input current to a transistor and I, be the out- put current. Then the current gain is proportional to In(II). Suppose the constant of proportionality is 1 (which amounts to choosing a particular unit of measure- ment), so that current gain In(I/I). Assume X is normally distributed with X 1 and = .05.

a. What type of distribution does the ratio I/I, 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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