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.) a. The probability that a single carrier sent on a six-month mission will not requirereplacement of the module during that time.

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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.)

a. The probability that a single carrier sent on a six-month mission will not require
replacement of the module during that time.

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