A system consists of two identical pumps, #1 and #2. If one pump fails,the system will still operate. However, because of the added strain, theremaining pump is now more likely to fail than was originally the case. That is, 15 P(#2 fails | #1 fails). P(#2 fails) = q. If at least one pump fails bythe end of the pump design life in 7% of all systems and both pumps failduring that period in only 1%, what is the probability that pump #1 willfail during the pump design life?
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.
A system consists of two identical pumps, #1 and #2. If one pump fails,
the system will still operate. However, because of the added strain, the
remaining pump is now more likely to fail than was originally the case.
That is, 15 P(#2 fails | #1 fails). P(#2 fails) = q. If at least one pump fails by
the end of the pump design life in 7% of all systems and both pumps fail
during that period in only 1%, what is the
fail during the pump design life?
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