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In a certain city, the daily consumption of water (in millions of liters) follows approximately a gamma distribution with a=4 and ß= 2. If the daily capacity of that city is 6 million liters of water, what is the probability that on any given day the water supply is inadequate? Click the icon to view the Incomplete Gamma Function table. The probability is (Round to three decimal places as needed.) Incomplete Gamma Function table T 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 0.9980 0.9990 1.0000 The Incomplete Gamma Function: F(x; a) = le dy 1 3 4 5 6 7 8 9 10 2 0.6320 0.2640 0.0800 0.0190 0.0040 0.0010 0.0000 0.0000 0.0000 0.0000 0.8650 0.5940 0.3230 0.1430 0.0530 0.0170 0.0050 0.0010 0.0000 0.0000 0.9500 0.8010 0.5770 0.3530 0.1850 0.0840 0.0340 0.0120 0.0040 0.0010 0.9820 0.9080 0.7620 0.5670 0.3710 0.2150 0.1110 0.0510 0.0210 0.0080 0.9930 0.9600 0.9600 0.8750 0.7350 0.5600 0.3840 0.2380 0.1330 0.0680 0.0320 0.9830 0.9380 0.8490 0.7150 0.5540 0.3940 0.2560 0.1530 0.0840 0.9930 0.9700 0.9180 0.8270 0.6990 0.5500 0.4010 0.2710 0.1700 0.9970 0.9860 0.9580 0.9000 0.8090 0.6870 0.5470 0.4070 0.2830 0.9990 0.9940 0.9790 0.9450 0.8840 0.7930 0.6760 0.5440 0.4130 1.0000 0.9970 0.9900 0.9710 0.9330 0.8700 0.7800 0.6670 0.5420 0.9950 0.9850 0.9620 0.9210 0.8570 0.7680 0.6590 0.9980 0.9920 0.9800 0.9540 0.9110 0.8450 0.7580 0.9990 0.9960 0.9890 0.9740 0.9460 0.9000 0.8340 0.9940 1.0000 0.9980 0.9860 0.9680 0.9380 0.8910 0.9990 0.9820 0.9630 0.9970 0.9920 0.9630 0.9300 6 8 7 10 5 9 1 2 0.9990 1.0000 3 α 4 a D - X -

In a certain city, the daily consumption of water (in millions of liters) follows approximately a gamma distribution with a=4 and ß= 2. If the daily capacity of that city is 6 million liters of water, what is the probability that on any given day the water supply is inadequate? Click the icon to view the Incomplete Gamma Function table. The probability is (Round to three decimal places as needed.) Incomplete Gamma Function table T 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 0.9980 0.9990 1.0000 The Incomplete Gamma Function: F(x; a) = le dy 1 3 4 5 6 7 8 9 10 2 0.6320 0.2640 0.0800 0.0190 0.0040 0.0010 0.0000 0.0000 0.0000 0.0000 0.8650 0.5940 0.3230 0.1430 0.0530 0.0170 0.0050 0.0010 0.0000 0.0000 0.9500 0.8010 0.5770 0.3530 0.1850 0.0840 0.0340 0.0120 0.0040 0.0010 0.9820 0.9080 0.7620 0.5670 0.3710 0.2150 0.1110 0.0510 0.0210 0.0080 0.9930 0.9600 0.9600 0.8750 0.7350 0.5600 0.3840 0.2380 0.1330 0.0680 0.0320 0.9830 0.9380 0.8490 0.7150 0.5540 0.3940 0.2560 0.1530 0.0840 0.9930 0.9700 0.9180 0.8270 0.6990 0.5500 0.4010 0.2710 0.1700 0.9970 0.9860 0.9580 0.9000 0.8090 0.6870 0.5470 0.4070 0.2830 0.9990 0.9940 0.9790 0.9450 0.8840 0.7930 0.6760 0.5440 0.4130 1.0000 0.9970 0.9900 0.9710 0.9330 0.8700 0.7800 0.6670 0.5420 0.9950 0.9850 0.9620 0.9210 0.8570 0.7680 0.6590 0.9980 0.9920 0.9800 0.9540 0.9110 0.8450 0.7580 0.9990 0.9960 0.9890 0.9740 0.9460 0.9000 0.8340 0.9940 1.0000 0.9980 0.9860 0.9680 0.9380 0.8910 0.9990 0.9820 0.9630 0.9970 0.9920 0.9630 0.9300 6 8 7 10 5 9 1 2 0.9990 1.0000 3 α 4 a D - X -

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In a certain city, the daily consumption of water (in millions of liters) follows approximately a gamma distribution with a = 4 and B= 2. If the daily capacity of that city is 6 million liters of water, what is the probability that on any given day the water supply is inadequate? Click the icon to view the Incomplete Gamma Function table. The probability is (Round to three decimal places as needed.) Incomplete Gamma Function table CY 2 1 2 3 4 5 6 7 8 10 1 0.0000 2 9 0.6320 0.2640 0.0800 0.0190 0.0040 0.0010 0.0000 0.0000 0.0000 0.8650 0.5940 0.3230 0.1430 0.0530 0.0170 0.0050 0.0010 0.0000 0.0000 0.9500 0.8010 0.5770 0.3530 0.1850 0.0840 0.0340 0.0120 0.0120 0.0040 0.0010 0.3710 0.2150 0.1110 0.1110 0.0510 0.0210 0.5600 0.3840 0.2380 0.2380 0.1330 0.1330 0.0680 0.0680 0.0320 0.3940 0.2560 0.1530 0.0840 0.6990 0.5500 0.4010 0.2710 0.1700 3 4 0.9820 0.9080 0.7620 0.5670 0.9930 0.9600 0.8750 0.7350 0.9980 0.9830 0.9380 0.8490 0.7150 0.5540 0.3940 0.9990 0.9930 0.9700 0.9180 0.8270 0.6990 0.5500 1.0000 0.0080 0.9970 0.9860 0.9580 0.9000 0.8090 0.6870 0.5470 0.4070 0.2830 0.9990 0.9940 0.9790 0.9450 0.8840 0.7930 0.6760 0.6760 0.5440 0.4130 1.0000 0.9970 0.9900 0.9710 0.9330 0.8700 0.7800 0.6670 0.5420 5 67899 10 11 12 13 14 15 2 The Incomplete Gamma Function: F(x; a) = foy-le- dy 1 2 a 0.9990 0.9950 0.9850 0.9620 0.9210 0.9620 0.9210 0.8570 0.7680 0.6590 1.0000 0.9980 0.9920 0.9800 0.9540 0.9110 0.8450 0.7580 0.9990 0.9960 0.9460 0.9000 0.8340 0.9960 0.9890 0.9740 1.0000 0.9980 0.9940 0.9860 0.9680 0.9380 0.8910 0.9990 0.9820 0.9970 0.9920 0.9630 0.9300 8 10 5 6 7 9 3 4 a -
Transcribed Image Text:In a certain city, the daily consumption of water (in millions of liters) follows approximately a gamma distribution with a = 4 and B= 2. If the daily capacity of that city is 6 million liters of water, what is the probability that on any given day the water supply is inadequate? Click the icon to view the Incomplete Gamma Function table. The probability is (Round to three decimal places as needed.) Incomplete Gamma Function table CY 2 1 2 3 4 5 6 7 8 10 1 0.0000 2 9 0.6320 0.2640 0.0800 0.0190 0.0040 0.0010 0.0000 0.0000 0.0000 0.8650 0.5940 0.3230 0.1430 0.0530 0.0170 0.0050 0.0010 0.0000 0.0000 0.9500 0.8010 0.5770 0.3530 0.1850 0.0840 0.0340 0.0120 0.0120 0.0040 0.0010 0.3710 0.2150 0.1110 0.1110 0.0510 0.0210 0.5600 0.3840 0.2380 0.2380 0.1330 0.1330 0.0680 0.0680 0.0320 0.3940 0.2560 0.1530 0.0840 0.6990 0.5500 0.4010 0.2710 0.1700 3 4 0.9820 0.9080 0.7620 0.5670 0.9930 0.9600 0.8750 0.7350 0.9980 0.9830 0.9380 0.8490 0.7150 0.5540 0.3940 0.9990 0.9930 0.9700 0.9180 0.8270 0.6990 0.5500 1.0000 0.0080 0.9970 0.9860 0.9580 0.9000 0.8090 0.6870 0.5470 0.4070 0.2830 0.9990 0.9940 0.9790 0.9450 0.8840 0.7930 0.6760 0.6760 0.5440 0.4130 1.0000 0.9970 0.9900 0.9710 0.9330 0.8700 0.7800 0.6670 0.5420 5 67899 10 11 12 13 14 15 2 The Incomplete Gamma Function: F(x; a) = foy-le- dy 1 2 a 0.9990 0.9950 0.9850 0.9620 0.9210 0.9620 0.9210 0.8570 0.7680 0.6590 1.0000 0.9980 0.9920 0.9800 0.9540 0.9110 0.8450 0.7580 0.9990 0.9960 0.9460 0.9000 0.8340 0.9960 0.9890 0.9740 1.0000 0.9980 0.9940 0.9860 0.9680 0.9380 0.8910 0.9990 0.9820 0.9970 0.9920 0.9630 0.9300 8 10 5 6 7 9 3 4 a -
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