As part of your research, you have a procedure that is an indirect measure the amount of time (in hours) until the 5th occurrence of particular gene mutation is observed For a variety of duplicate experiments, you obtain the following set of data points (in hours) It is known that the Gamma distribution should represent this data Determine the value of (mean number of mutations hour) from your data set Show all your work and turn in a hard copy of your code Data for the Question 0 4000 0 5180 0 3270 0 2830 0 5610 0 3770 0 3680 0 3490 0 4560 0 4510 0 2850 0 4750 0 6810 0 6360 0 2480 0 5320 0 5240 0 6160 0 5230 0 2580 0 8590 0 4340 0 4000 0 7400 0 3310 0 4340 0 4040 0 3730 0 1790 0 4290 0 5010 0 2810 0 1270 0 2490 0 3180 0 2760 0 4850 0 4720 0 3740 0 3500 0 9540 0 4540 0 4680 0 7940 0 7120 0 3190 0 2780 0 4410 0 4580 0 4490 0 2120 0 3800 0 1260 0 3900 0 5250 0 3340 0 7300 0 2060 0 1440 0 6570 0 4070 0 3850 0 6610 0 2200 0 2540 0 2180 0 4310 0 6290 0 3060 0 4970 0 7760 0 5350 0 2030 0 4280 0 7130 0 7190 0 3410 0 5410 0 4200 0 3030 0 4790 0 4210 0 2730 0 2990 0 3930 0 4620 0 3950 0 8290 0 5780 0 5190 0 5430 0 4980 0 3070 0 6470 0 3950 0 3070 0 5620 0 5150 0 6080 0 2200 0 5320 0 3360 0 5380 0 4840 0 4750 0 6020 0 4980 0 5760 0 7010 0 2160 0 6450 0 5650 0 6600 0 3240 0 2870 0 2730 0 6900 0 2450 0 5830 0 3580 0 5160 0 4330 0 7130 0 3730 0 5320 0 1870 0 6660 0 4070 0 2610 0 4190 0 4300 0 6740 0 3580 0 2630 0 3090 0 1330 0 7100 0 2680 0 3470 0 3250 0 3790 0 3330 0 4240 0 3380 0 5020 0 3530 0 1520 0 1940 0 4530 0 1340 0 5350 0 3850 0 4960 0 7110 0 0873 0 2600 0 4580 0 3150 0 2670 0 4130 0 2650 0 5610 0 4070 0 4770 0 3130 0 6650 0 1750 0 1930 0 4460 0 3470 0 3710 0 4500 0 2200 0 6710 0 4800 0 2110 0 2200 0 1600 0 3930 0 6110 0 5240 0 5580 0 2250 0 3570 0 2350 0 3850 0 2590 0 1370 0 4610 0 4810 0 4430 0 5570 0 3600 0 8250 0 1640 0 5150 0 3650 0 3320 0 3860 0 2050

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As part of your research, you have a procedure that is an indirect measure the amount of time (in hours) until the 5th occurrence of

As part of your research, you have a procedure that is an indirect measure the amount of time (in hours) until the 5th occurrence of particular gene mutation is observed. For a variety of duplicate experiments, you obtain the following set of data points (in hours). It is known that the Gamma distribution should represent this data. Determine the value of = (mean number of mutations/hour) from your data set. Show all your work and turn in a hard copy of your code.

Data for the Question:

0.4000
0.5180
0.3270
0.2830
0.5610
0.3770
0.3680
0.3490
0.4560
0.4510
0.2850
0.4750
0.6810
0.6360
0.2480
0.5320
0.5240
0.6160
0.5230
0.2580
0.8590
0.4340
0.4000
0.7400
0.3310
0.4340
0.4040
0.3730
0.1790
0.4290
0.5010
0.2810
0.1270
0.2490
0.3180
0.2760
0.4850
0.4720
0.3740
0.3500
0.9540
0.4540
0.4680
0.7940
0.7120
0.3190
0.2780
0.4410
0.4580
0.4490
0.2120
0.3800
0.1260
0.3900
0.5250
0.3340
0.7300
0.2060
0.1440
0.6570
0.4070
0.3850
0.6610
0.2200
0.2540
0.2180
0.4310
0.6290
0.3060
0.4970
0.7760
0.5350
0.2030
0.4280
0.7130
0.7190
0.3410
0.5410
0.4200
0.3030
0.4790
0.4210
0.2730
0.2990
0.3930
0.4620
0.3950
0.8290
0.5780
0.5190
0.5430
0.4980
0.3070
0.6470
0.3950
0.3070
0.5620
0.5150
0.6080
0.2200
0.5320
0.3360
0.5380
0.4840
0.4750
0.6020
0.4980
0.5760
0.7010
0.2160
0.6450
0.5650
0.6600
0.3240
0.2870
0.2730
0.6900
0.2450
0.5830
0.3580
0.5160
0.4330
0.7130
0.3730
0.5320
0.1870
0.6660
0.4070
0.2610
0.4190
0.4300
0.6740
0.3580
0.2630
0.3090
0.1330
0.7100
0.2680
0.3470
0.3250
0.3790
0.3330
0.4240
0.3380
0.5020
0.3530
0.1520
0.1940
0.4530
0.1340
0.5350
0.3850
0.4960
0.7110
0.0873
0.2600
0.4580
0.3150
0.2670
0.4130
0.2650
0.5610
0.4070
0.4770
0.3130
0.6650
0.1750
0.1930
0.4460
0.3470
0.3710
0.4500
0.2200
0.6710
0.4800
0.2110
0.2200
0.1600
0.3930
0.6110
0.5240
0.5580
0.2250
0.3570
0.2350
0.3850
0.2590
0.1370
0.4610
0.4810
0.4430
0.5570
0.3600
0.8250
0.1640
0.5150
0.3650
0.3320
0.3860
0.2050