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Consider a Poisson probability distribution with λ=2.8 Determine the following probabilities:  a)P(x=5)=_____ (Round to four decimal places as needed.) b)P(x>6)=_____ (Round to four decimal places as needed.) c)P(x less than or equal to < 3)=___ (Round to four decimal places as needed.) Attached is a Table if Poisson Probabilities.

Consider a Poisson probability distribution with λ=2.8 Determine the following probabilities:  a)P(x=5)=_____ (Round to four decimal places as needed.) b)P(x>6)=_____ (Round to four decimal places as needed.) c)P(x less than or equal to < 3)=___ (Round to four decimal places as needed.) Attached is a Table if Poisson Probabilities.

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
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Consider a Poisson probability distribution with λ=2.8 Determine the following probabilities:  a)P(x=5)=_____ (Round to four decimal places as needed.) b)P(x>6)=_____ (Round to four decimal places as needed.) c)P(x less than or equal to < 3)=___ (Round to four decimal places as needed.) Attached is a Table if Poisson Probabilities.
Table of Poisson Probabilities Poisson Probabilities 0.06 0.07 0.08 0.09 0.02 0.03 0.04 0.05 0.005 0.01 0.9418 0.9324 0.9231 0.9139 0.9802 0.9704 0.9608 0.9512 0.9950 0.9900 0.0653 0.0738 0.0823 0.0384 0.0476 0.0565 0.0050 0.0099 0.0196 0.0291 1 0.0023 0.0030 0.0037 0.0002 0.0004 0.0008 0.0012 0.0017 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001. 0.0000 0.0000 0.0000 0.0000 3. 0.0000 0.70 0.80 0.90 1.00 0.20 0.30 0.40 0.50 0.60 0.10 0.5488 0.4966 0.4493 0.4066 0.3679 0.9048 0.8187 0.7408 0.6703 0.6065 0.2681 0.3033 0.3293 0.3476 0.3595 0.3659 0.3679 1 0.0905 0.1637 0.2222 0.0536 0.0758 0.0988 0.1217 0.1438 0.1647 0.1839 2 0.0045 0.0164 0.0333 0.0126 0.0198 0.0284 0.0383 0.0494 0.0613 0.0002 0.0011 0.0033 0.0072 0.0007 0.0016 0.0030 0.0050 0.0077 0.0111 0.0153 0.0000 0.0001 0.0003 0.0001 0.0002 0.0004 0.0007 0.0012 0.0020 0.0031 0.0000 0.0000 0.0000 0.0001 0.0002 0.0003 0.0005 6. 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0000 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 1.10 1.20 0.3329 0.3012 0.2725 0.2466 0.2231 0.2019 0.1827 0.1653 0.1496 0.1353 0.3614 0.3452 0.3230 0.3106 0.2975 0.2842 0.2707 1 0.3662 0.3543 0.3347 2 0.2014 0.2169 0.2303 0.2417 0.2510 0.2584 0.2640 0.2678 0.2700 0.2707 3. 0.0738 0.0867 0.0998 0.1128 0.1255 0.1378 0.1496 0.1607 0.1710 0.1804 4 0.0203 0.0260 0.0324 0.0395 0.0471 0.0551 0.0636 0.0723 0.0812 0.0902 0.0045 0.0062 0.0084 0.0111 0.0141 0.0176 0.0216 0.0260 0.0309 0.0361 6 0.0008 0.0012 0.0018 0.0026 0.0035 0.0047 0.0061 0.0078 0.0098 0.0120 7 0.0001 0.0002 0.0003 0.0005 0.0008 0.0011 0.0015 0.0020 0.0027 0.0034 0.0000 0.0000 0.0001 0.0001 0.0001 0.0002 0.0003 0.0005 0.0006 0.0009 9. 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0002 2.10 2.20 2.30 240 2.50 2.60 2.70 2.80 2.90 3.00 0.1225 0.1108 0.1003 0.0907 0.0821 0.0743 0.0672 0.0608 0.0550 0.0498 1 0.2572 0.2438 0.2306 0.2177 0.2052 0.1931 0.1815 0.1703 0.1596 0.1494 0.2700 0.2681 0.2652 0.2613 0.2565 0.25 10 0.2450 0.2384 0.2314 0.2240 3. 0.1890 0.1966 0.2033 0.2090 0.2138 0.2176 0.2205 0.2225 0.2237 0.2240 4 0.0992 0.1082 0.1169 0,1254 0.1336 0.14 14 0.1488 0. 1557 0.1622 0.1680 0.0417 0.0476 0.0538 0.0602 0.0668 0.0735 0.0804 0.0872 0.0940 0.1008 0.0146 0.0174 0.0206 0.0241 0.0278 0.03 19 0.0362 0.0407 0.0455 0.0504 7. 0.0044 0.0055 0.0068 0.0083 0.0099 0.0118 0.0139 0.0163 0.0188 0.0216 0.0011 0.0015 0.0019 0.0025 0.0031 0.0038 0.0047 0.0057 0.0068 0.0081 9 0.0003 0.0004 0.0005 0,0007 0.0009 0.0011 0.0014 0.0018 0.0022 0.0027 10 0.0001 0.0001 0.0001 0,0002 0.0002 0.0003 0.0004 0.0005 0,0008 0.0006 11 0,0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0002 0.0002 12 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 Print Done
Transcribed Image Text:Table of Poisson Probabilities Poisson Probabilities 0.06 0.07 0.08 0.09 0.02 0.03 0.04 0.05 0.005 0.01 0.9418 0.9324 0.9231 0.9139 0.9802 0.9704 0.9608 0.9512 0.9950 0.9900 0.0653 0.0738 0.0823 0.0384 0.0476 0.0565 0.0050 0.0099 0.0196 0.0291 1 0.0023 0.0030 0.0037 0.0002 0.0004 0.0008 0.0012 0.0017 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001. 0.0000 0.0000 0.0000 0.0000 3. 0.0000 0.70 0.80 0.90 1.00 0.20 0.30 0.40 0.50 0.60 0.10 0.5488 0.4966 0.4493 0.4066 0.3679 0.9048 0.8187 0.7408 0.6703 0.6065 0.2681 0.3033 0.3293 0.3476 0.3595 0.3659 0.3679 1 0.0905 0.1637 0.2222 0.0536 0.0758 0.0988 0.1217 0.1438 0.1647 0.1839 2 0.0045 0.0164 0.0333 0.0126 0.0198 0.0284 0.0383 0.0494 0.0613 0.0002 0.0011 0.0033 0.0072 0.0007 0.0016 0.0030 0.0050 0.0077 0.0111 0.0153 0.0000 0.0001 0.0003 0.0001 0.0002 0.0004 0.0007 0.0012 0.0020 0.0031 0.0000 0.0000 0.0000 0.0001 0.0002 0.0003 0.0005 6. 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0000 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 1.10 1.20 0.3329 0.3012 0.2725 0.2466 0.2231 0.2019 0.1827 0.1653 0.1496 0.1353 0.3614 0.3452 0.3230 0.3106 0.2975 0.2842 0.2707 1 0.3662 0.3543 0.3347 2 0.2014 0.2169 0.2303 0.2417 0.2510 0.2584 0.2640 0.2678 0.2700 0.2707 3. 0.0738 0.0867 0.0998 0.1128 0.1255 0.1378 0.1496 0.1607 0.1710 0.1804 4 0.0203 0.0260 0.0324 0.0395 0.0471 0.0551 0.0636 0.0723 0.0812 0.0902 0.0045 0.0062 0.0084 0.0111 0.0141 0.0176 0.0216 0.0260 0.0309 0.0361 6 0.0008 0.0012 0.0018 0.0026 0.0035 0.0047 0.0061 0.0078 0.0098 0.0120 7 0.0001 0.0002 0.0003 0.0005 0.0008 0.0011 0.0015 0.0020 0.0027 0.0034 0.0000 0.0000 0.0001 0.0001 0.0001 0.0002 0.0003 0.0005 0.0006 0.0009 9. 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0002 2.10 2.20 2.30 240 2.50 2.60 2.70 2.80 2.90 3.00 0.1225 0.1108 0.1003 0.0907 0.0821 0.0743 0.0672 0.0608 0.0550 0.0498 1 0.2572 0.2438 0.2306 0.2177 0.2052 0.1931 0.1815 0.1703 0.1596 0.1494 0.2700 0.2681 0.2652 0.2613 0.2565 0.25 10 0.2450 0.2384 0.2314 0.2240 3. 0.1890 0.1966 0.2033 0.2090 0.2138 0.2176 0.2205 0.2225 0.2237 0.2240 4 0.0992 0.1082 0.1169 0,1254 0.1336 0.14 14 0.1488 0. 1557 0.1622 0.1680 0.0417 0.0476 0.0538 0.0602 0.0668 0.0735 0.0804 0.0872 0.0940 0.1008 0.0146 0.0174 0.0206 0.0241 0.0278 0.03 19 0.0362 0.0407 0.0455 0.0504 7. 0.0044 0.0055 0.0068 0.0083 0.0099 0.0118 0.0139 0.0163 0.0188 0.0216 0.0011 0.0015 0.0019 0.0025 0.0031 0.0038 0.0047 0.0057 0.0068 0.0081 9 0.0003 0.0004 0.0005 0,0007 0.0009 0.0011 0.0014 0.0018 0.0022 0.0027 10 0.0001 0.0001 0.0001 0,0002 0.0002 0.0003 0.0004 0.0005 0,0008 0.0006 11 0,0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0002 0.0002 12 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 Print Done
Consider a Poisson probability distribution with A=2.8. Determine the following probabilities. a) P(x= 5) b) P(x > 6) c) P(xs3) Click the icon to view a partial table of Poisson probabilities. a) P(x= 5)=(Round to four decimal places as needed.) b) P(x> 6) = (Round to four decimal places as needed.) c) P(xs 3)= | (Round to four decimal places as needed.)
Transcribed Image Text:Consider a Poisson probability distribution with A=2.8. Determine the following probabilities. a) P(x= 5) b) P(x > 6) c) P(xs3) Click the icon to view a partial table of Poisson probabilities. a) P(x= 5)=(Round to four decimal places as needed.) b) P(x> 6) = (Round to four decimal places as needed.) c) P(xs 3)= | (Round to four decimal places as needed.)
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