SystemsEvalMidterm-JudahAnttila-v2.xlsx

	A	B	C	D	E	F	H	M	N	O	P	Q	R	S	Z	AA	AB	AC	AD
1	time taken: 30 mins
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8								"you've found that the time (in hours) between failures of each of the machines follow a Weibull distribution"
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14								Failures within a two week interval are BAD
15								8	hours / day
16								5	days / week
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21								Machine	Beta_i	Theta_i
22								M1	0.88145	817.431
23								M2	1.05568	653.595
24								M3	1.39012	523.077
25								M4	1.11599	701.351
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40															R(t) = 1 - F(t)
41															So just sub in t as t*
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43															2	work weeks
44															8	hours / day
45															5	days / work week
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47															t* (in hours)=	80	hours
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50															time (hours)	R1(80 hrs)	R2(80 hrs)	R3(80 hrs)	R4(80 hrs)
51															80	0.8790499364	0.8968288544	0.9291198425	0.9151443056
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65		"you've found that the time (in hours) between failures of each of the machines follow a Weibull distribution"
66		Machine	M1	M2	M3	M4	(so yes, the time column does not need to be adjusted)
67		Beta_i	0.88145	1.05568	1.39012	1.11599
68		Theta_i	817.431	653.595	523.077	701.351				R(t) = 1 - F(t)
69			M1	M2	M3	M4
70		time (hours)	F1(t)	F2(t)	F3(t)	F4(t)				time (hours)	R1(t)	R2(t)	R3(t)	R4(t)
71		1	0.002705402211	0.001065867785	0.0001662767186	0.0006665300816				1	0.9972945978	0.9989341322	0.9998337233	0.9993334699
72		2	0.004978283155	0.002214343299	0.0004357533476	0.001444099853				2	0.9950217168	0.9977856567	0.9995642467	0.9985559001
73		3	0.007109353927	0.003395345086	0.00076552093	0.002269518842				3	0.9928906461	0.9966046549	0.9992344791	0.9977304812
74		4	0.009151890728	0.004597453431	0.001141708285	0.003127357113				4	0.9908481093	0.9954025466	0.9988582917	0.9968726429
75		5	0.01113009654	0.005815107379	0.001556616044	0.004009921432				5	0.9888699035	0.9941848926	0.998443384	0.9959900786
76		6	0.01305781098	0.007044972388	0.00200518933	0.004912523186				6	0.986942189	0.9929550276	0.9979948107	0.9950874768
77		7	0.01494397766	0.008284813234	0.00248379263	0.005831979722				7	0.9850560223	0.9917151868	0.9975162074	0.9941680203
78		8	0.01679484148	0.009533021828	0.002989654499	0.00676597755				8	0.9832051585	0.9904669782	0.9970103455	0.9932340225
79		9	0.01861500387	0.01078838297	0.003520574547	0.007712752902				9	0.9813849961	0.989211617	0.9964794255	0.9922872471
80		10	0.02040799243	0.01204994442	0.004074752428	0.008670912966				10	0.9795920076	0.9879500556	0.9959252476	0.991329087
81		11	0.02217659534	0.01331693892	0.004650680547	0.009639327669				11	0.9778234047	0.9866830611	0.9953493195	0.9903606723
82		12	0.02392307036	0.01458873437	0.005247072945	0.01061706018				12	0.9760769296	0.9854112656	0.9947529271	0.9893829398
83		13	0.02564928213	0.0158648006	0.005862816103	0.01160332016				13	0.9743507179	0.9841351994	0.9941371839	0.9883966798
84		14	0.02735679604	0.0171446862	0.006496933688	0.01259743109				14	0.972643204	0.9828553138	0.9935030663	0.9874025689
85		15	0.02904694447	0.01842800197	0.007148560576	0.01359880672				15	0.9709530555	0.981571998	0.9928514394	0.9864011933
86		16	0.03072087498	0.01971440873	0.007816923229	0.01460693372				16	0.969279125	0.9802855913	0.9921830768	0.9853930663
87		17	0.03237958606	0.02100360808	0.008501324567	0.01562135848				17	0.9676204139	0.9789963919	0.9914986754	0.9843786415
88		18	0.03402395428	0.02229533543	0.009201132107	0.01664167699				18	0.9659760457	0.9777046646	0.9907988679	0.983358323
89		19	0.03565475526	0.02358935443	0.009915768504	0.01766752691				19	0.9643452447	0.9764106456	0.9900842315	0.9823324731
90		20	0.03727268007	0.02488545264	0.01064470391	0.01869858124				20	0.9627273199	0.9751145474	0.9893552961	0.9813014188
91		21	0.03887834835	0.02618343802	0.01138744975	0.01973454325				21	0.9611216517	0.973816562	0.9886125502	0.9802654568
92		22	0.04047231875	0.02748313611	0.01214355354	0.02077514233				22	0.9595276812	0.9725168639	0.9878564465	0.9792248577
93		23	0.04205509757	0.02878438765	0.01291259458	0.0218201306				23	0.9579449024	0.9712156124	0.9870874054	0.9781798694
94		24	0.04362714571	0.03008704669	0.01369418038	0.02286928003				24	0.9563728543	0.9699129533	0.9863058196	0.97713072
95		25	0.04518888457	0.03139097896	0.01448794352	0.02392238012				25	0.9548111154	0.968609021	0.9855120565	0.9760776199
96		26	0.04674070089	0.03269606048	0.01529353906	0.02497923584				26	0.9532592991	0.9673039395	0.9847064609	0.9750207642
97		27	0.04828295087	0.03400217647	0.0161106423	0.026039666				27	0.9517170491	0.9659978235	0.9838893577	0.973960334
98		28	0.04981596365	0.03530922026	0.01693894679	0.02710350169				28	0.9501840363	0.9646907797	0.9830610532	0.9728964983
99		29	0.0513400443	0.03661709255	0.01777816263	0.02817058509				29	0.9486599557	0.9633829074	0.9822218374	0.9718294149
100		30	0.05285547636	0.0379257006	0.01862801501	0.02924076837				30	0.9471445236	0.9620742994	0.981371985	0.9707592316