Question: Problem 1: (6 Points) Consider a state-of-the-art component with a Weibull distribution having shape parameter 1.5 and scale parameter 8000 (units in hours). The function

Problem 1:(6 Points) Consider a state-of-the-art component with a Weibull distribution having shape parameter1.5and scale parameter8000(units in hours).

The function to be performed by this component is contractually specified to have a 5000hreliability of0.94. Thus, redundancy will have to be employed, say by putting components in parallel.

Using MCS determine the least number of redundant components to be used in order to reach that reliability.

Replicate10,000times and determine the number of required components (original + redundant parts), then determine the average reliability and plot a histogram ofjust 100reliability values.

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