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QUESTION:7 If a company need 200 individuals to complete a job in a timely manner. Within the [5, 25]hours, a person's time spent on their work (subscripts I would be a uniformly distributed random variable. Also, assuming that T(subscripts ijs are all mutually independent Then X would be the total time it took to complete the project. Please make this problem as simple as possible. 1)If we approximate X with a normal distribution, what is the expected value E[X] and variance var[X]? 2) Calculate the likelihood that X is less than 2900 hours using the accompanying CDF table for a standard norma distribution and display the value you discovered in the table in the show of work. 3)What is the variance of random variable X if T(subscripts Lis an Exponential distributed random variable with parameter 1 = 1/15? 0.00 0.01 0.00 0.00 0.01 0.05 000 0.07 0.00 0.01 0.00 0.01 0.05 000 0.07 GO 0.5000 5000 GO 0.5000 5000 GO 0.5000 5000 GO 0.5000 0.61206.160 0.50 0.7 0.5325000 OSOBO 2.10.80.5638 0.5478 OSSIT 15570.556 055 05 0.5714 0.51 0.2 0.5750 0.52 0.5 0.3030 0.3968 0.6 0.6026 0.000 0.00 0.00 0.3 0.6179 0.17 0.00 0.00 0.00 0.6 0.6 GT 40.54 0.00 0.00 0.00 0.00 0.00 0.2 0.GOOGD ON 0.5 0.6915 0.6950 0.008 0.7039 054 055 0.7 TROS - Da 0.7881 0.70 0.79 0.74677 000 0.01 306 BSS 0.9 0.559 0.1 0.1212 0.8038 0.264 GTS OT 750 0.7611 0.750 0.7578 TT OTTOM 0.779 TROS - Da 0.7881 0.70 0.79 0.74677 000 0.01 306 BSS 0.9 0.559 0.1 0.1212 0.8038 0.264 TROS - Da 0.7881 0.70 0.79 OTT 0:39 1.1 0.6 0.6 OTT 0:39 1.1 0.6 0.6 OTT 0:39 1.1 0.6 0.6 OTT 0:39 1.1 0.6 0.6 OTT 0:39 1.1 0.6 0.6 OTT 0:39 1.1 0.6 0.6 OTT 0:39 1.1 0.6 0.6 OTT O: BUNTOS TS TO OTTO BUNTOS BUNTOS BUNTOS BUNTOS BUNTOS BUNTOS BUNTOS B O 30 12. 0.9 0.0.0.0.0 Care 13 0.002 0.90 0.0006 0.00 0.00 0.11 0.11 0.1 ce 1.4 0.8190 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 AT OSSES NIS 1008 0.86 1.10.3854 0.06 0.0.00 0.5000 OM 0.00 0.00 1.6 0.45 0.3 0.374 0.90 NIS 1008 0.86 1.1 0.3854 0.05 0.0.00 0.5000 OM OS 13.00 0.00 0.0064 0.05 L 0.5541 0.5678 w 0978 99 272 2.1 220.0 0.00 0.00 0.00 0.05 24 0.01 0.20 0.2 0.2 0.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 SOTT SITT 007 D 290.10.2. S: 200.987 AT 0907. 0.00 0.00 SES 20.9772 OBODU