In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contains 200 diodes. (a) How many diodes would you expect to fail, and what is the standard deviation ofthe number that are expected to fail? (b) What is the (approximate) probability that exactly four diodes will fail on a ran-domly selected board? State what approximations you are using.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In proof testing of circuit boards, the
(a) How many diodes would you expect to fail, and what is the standard deviation ofthe number that are expected to fail?
(b) What is the (approximate) probability that exactly four diodes will fail on a ran-domly selected board? State what approximations you are using.
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