QUESTION

Text
Image


3) a) Suppose that a particular part is used in three different equipment (A,B,C). Spares are procured every 180 days. The number of parts used, the part failure rate, and the equipment operating hours per day are given below. Determine the number of spares that should be carried in inventory to ensure a $90 \%$ chance of having a spare available when required. \begin{tabular}{|l|l|l|l|} \hline Item & $\mathrm{K}$ & Failures per $\mathbf{1 0 0 0}$ Hours & Operating Hours Per Day \\ \hline Equipment A & 25 & 0.10 & 12 \\ \hline Equipment B & 28 & 0.07 & 15 \\ \hline Equipment C & 35 & 0.15 & 20 \\ \hline \end{tabular} b) There are $\mathbf{1 0}$ aircrafts scheduled for a $\mathbf{1 5}$ hours mission. Determine the probability that at least 8 aircrafts will operate for the duration of the mission without failure. The aircraft has a known mean life of 100 hours.

Public Answer

UHNWPT The First Answerer