Let I, be the input current to a transistor and I, be the output current. Then the current gain is proportional to In-. Suppose the constant of proportionality is 1 (vwhich amounts to choosing a particular unit of measurement), so that current gain =X = In). Assume X is norm distributed with p = 2 and o = 0.03. (a) What type of distribution does the ratio have? O Since In has a lognormal distribution, by definitionhas a lognormal distribution. O Since In) has a normal distribution, by definition e has a normal distribution. O Since In has a normal distribution, by definition has a lognormal distribution. O since In has a lognormal distribution, by definition has an exponential distribution. O Since In has a normal distribution, by definition has an exponential distribution. (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? (Round your expected value to two decimal places. Round your variance to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Let I, be the input current to a transistor and I, be the output current. Then the current gain is proportional to In
Suppose the constant of proportionality is 1 (which amounts to choosing a particular unit of measurement), so that current gain = X = In
Assume X is normally
distributed with u- 2 and o = 0.03.
(a) What type of distribution does the ratio
I,
have?
O Since In
has a lognormal distribution, by definition has a lognormal distribution.
O Since In
has a normal distribution, by definition -
has a normal distribution.
O Since In
has a normal distribution, by definition
has a lognormal distribution.
O Since In
has a lognormal distribution, by definition
- has an exponential distribution.
O Since In
has a normal distribution, by definition
- has an exponential distribution.
(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? (Round your expected value to two decimal places. Round your variance to four decimal places.)
(수)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:Let I, be the input current to a transistor and I, be the output current. Then the current gain is proportional to In Suppose the constant of proportionality is 1 (which amounts to choosing a particular unit of measurement), so that current gain = X = In Assume X is normally distributed with u- 2 and o = 0.03. (a) What type of distribution does the ratio I, have? O Since In has a lognormal distribution, by definition has a lognormal distribution. O Since In has a normal distribution, by definition - has a normal distribution. O Since In has a normal distribution, by definition has a lognormal distribution. O Since In has a lognormal distribution, by definition - has an exponential distribution. O Since In has a normal distribution, by definition - has an exponential distribution. (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? (Round your expected value to two decimal places. Round your variance to four decimal places.) (수) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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