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(Solved): DISCRETE MATHEMATICS PLEASE SHOW THE FULL STEP-BY-STEP WORKINGS FOR THESE QUESTIONS   ...


DISCRETE MATHEMATICS

PLEASE SHOW THE FULL STEP-BY-STEP WORKINGS FOR THESE QUESTIONS

\( \frac{\prod_{i=2}^{4}(i+1)^{2}}{\prod_{i=1}^{3}(2 i+1)} \)

The number of times a machine malfunctions per week follows a Poisson distribution and the probability that it does not malfu

 

\( \frac{\prod_{i=2}^{4}(i+1)^{2}}{\prod_{i=1}^{3}(2 i+1)} \) The number of times a machine malfunctions per week follows a Poisson distribution and the probability that it does not malfunction at all during one week equals \( e^{-1 / 2} \). What is the expected value of the number of times it malfunctions in a certain 52 week period? What is the variance in the number of times it malfunctions in that 52 week period?


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