115. Let Ii be the input current to a transistor and I0 be the output current. Then the current gain is proportional to ln(I0/Ii

). Suppose the constant of proportionality is 1

(which amounts to choosing a particular unit of measurement), so that current gain
X
ln(I0/Ii

). Assume X is normally distributed with
1 and
.05.

a. What type of distribution does the ratio I0/Ii 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?