EMIS 7305/5305 Homework 5 Repair Time Analysis (a)The specified (required) mean and max (90th percentile) elapsed time to repair an item is 3.2 hours and 7.4 hours, respectively. The time to repair probability distribution is not specified. Evaluate this requirement in terms of the mean, median and max (90th, 95th and 99th percentiles) elapsed time to repair using the Exponential, Normal and Lognormal models. Summarize the results in a tabular format. Plot the probability density and distribution functions for visual comparison. 1 EMIS 7305/5305 Homework 5 Repair Time (b) A system's repair time needs to be evaluated with respect to the requirement, t0.95 = 2.9 The sum of the trouble shoot time , T1, remove and replace time, T2, and verification time, T3. If the task times are independent and are distributed as follows: T1~ N (0.75, 0.2) T2 ~ N (1.25, 0.3) T3 ~ N (0.5, 0.15) 1. What is the probability of exceeding t0.95= 2.9 hours EMIS 7305/5305 Homework 5 Repair Time 2. If the task times are independent and distributed as follow: T1~ E (0.75) T2 ~ LN (0.5, 0.1) T3 ~ N (0.5, 0.15) What is the probability of exceeding t0.95= 2.9 hours