An electronic module used by the Navy in a sonar device requires replacement onthe average once every 16 months and fails according to a Poisson process. Suppose that the Navy places these sonar devices into service on the same date in eightdifferent aircraft carriers. If the modules are replaced immediately after failure andthe budget allows for exactly 40 spares over five years, what is the probability thatthe budget is exceeded? (Hint: Use a normal approximation to the Poisson.) b. The probability that the time of the fifth failure is more than one year after thedevices are placed into service.
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.
An electronic module used by the Navy in a sonar device requires replacement on
the average once every 16 months and fails according to a Poisson process. Suppose that the Navy places these sonar devices into service on the same date in eight
different aircraft carriers. If the modules are replaced immediately after failure and
the budget allows for exactly 40 spares over five years, what is the probability that
the budget is exceeded? (Hint: Use a normal approximation to the Poisson.)
b. The probability that the time of the fifth failure is more than one year after the
devices are placed into service.
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