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 to be performed by this component is contractually specified to have a 5000h reliability of 0.94. 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. Replicate 10,000 times and determine the number of required components (original + redundant parts), then determine the average reliability and plot a histogram of the resulting 10,000 reliability values.