Resistors of a certain type have resistances that are exponentially distributed with parameter λ = 0.04. An operator connects 50 independent resistors in series, which causes total resistance in thecircuit to be the sum of individual resistances. Find the probability that the total resistance is less than 1245.
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.
Resistors of a certain type have resistances that are exponentially distributed
with parameter λ = 0.04. An operator connects 50 independent resistors in series, which causes total resistance in thecircuit to be the sum of individual resistances.
Find the probability that the total resistance is less than 1245.
Since, X follows exponential distribution,
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