help me with the following problem Problem The failure time of an accumulator is considered an...
help me with the following problem
Problem
The failure time of an accumulator is considered an exponentially
distributed continuous random variable with an average of 3 years
per accumulator. If a dealer wants to get replacement batteries for
two years. Determine:
a) the probability that the accumulator will last less than the
guarantee
b) What is the expected duration time?
Homework Answers
a) The probability that the accumulator will last less than the guarantee is computed here as:
Note that the parameter for exponential distribution is reciprocal of its mean that is given to be 3 here.
Therefore 0.4866 is the required probability here.
b) The expected duration time is equal to mean of the distribution which is already given as 3 here. Therefore 3 years is the required expected duration here.
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Problem
The failure time of an accumulator is considered an...
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