Desk work 4
Transcript of Desk work 4
![Page 1: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/1.jpg)
Find the mean, variance, and standard deviation of the probability distribution.X P(x)2 0.154 0.206 0.258 0.35
10 0.05
![Page 2: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/2.jpg)
Find the mean, variance, and standard deviation of the probability distribution.X P(x)2 0.154 0.206 0.258 0.35
10 0.05
π=β [π₯ βπ (π₯ )]
![Page 3: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/3.jpg)
Find the mean, variance, and standard deviation of the probability distribution.X P(x)2 0.154 0.206 0.258 0.35
10 0.05
π=β [π₯ βπ (π₯ )]Create a column of xβP(x)
![Page 4: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/4.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.154 0.206 0.258 0.3510 0.05
π=β [π₯ βπ (π₯ )]Create a column of xβP(x)
![Page 5: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/5.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.206 0.258 0.3510 0.05
π=β [π₯ βπ (π₯ )]Create a column of xβP(x)
![Page 6: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/6.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.258 0.3510 0.05
π=β [π₯ βπ (π₯ )]Create a column of xβP(x)
![Page 7: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/7.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.3510 0.05
π=β [π₯ βπ (π₯ )]Create a column of xβP(x)
![Page 8: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/8.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.8010 0.05
π=β [π₯ βπ (π₯ )]Create a column of xβP(x)
![Page 9: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/9.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.8010 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]Create a column of xβP(x)
![Page 10: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/10.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.8010 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]
Sum the column of xβP(x)
![Page 11: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/11.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.8010 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]
Sum the column of xβP(x)
Ξ£[xβP(x)]=5.9
![Page 12: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/12.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.8010 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
Mean
![Page 13: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/13.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x)2 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.8010 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2
![Page 14: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/14.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x22 0.15 2(0.15) = 0.304 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.80
10 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2
![Page 15: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/15.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x22 0.15 2(0.15) = 0.30 22 = 44 0.20 4(0.20) = 0.806 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.80
10 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2
![Page 16: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/16.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x22 0.15 2(0.15) = 0.30 22 = 44 0.20 4(0.20) = 0.80 42 = 166 0.25 6(0.25) = 1.508 0.35 8(0.35) = 2.80
10 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2
![Page 17: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/17.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x22 0.15 2(0.15) = 0.30 22 = 44 0.20 4(0.20) = 0.80 42 = 166 0.25 6(0.25) = 1.50 62 = 368 0.35 8(0.35) = 2.80
10 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2
![Page 18: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/18.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x22 0.15 2(0.15) = 0.30 22 = 44 0.20 4(0.20) = 0.80 42 = 166 0.25 6(0.25) = 1.50 62 = 368 0.35 8(0.35) = 2.80 82 = 6410 0.05 10(0.05) = 0.50
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2
![Page 19: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/19.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x22 0.15 2(0.15) = 0.30 22 = 44 0.20 4(0.20) = 0.80 42 = 166 0.25 6(0.25) = 1.50 62 = 368 0.35 8(0.35) = 2.80 82 = 6410 0.05 10(0.05) = 0.50 102 = 100
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2
![Page 20: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/20.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x22 0.15 2(0.15) = 0.30 22 = 44 0.20 4(0.20) = 0.80 42 = 166 0.25 6(0.25) = 1.50 62 = 368 0.35 8(0.35) = 2.80 82 = 64
10 0.05 10(0.05) = 0.50 102 = 100
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2βP(x)
![Page 21: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/21.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4
4 0.20 4(0.20) = 0.80 42 = 16
6 0.25 6(0.25) = 1.50 62 = 36
8 0.35 8(0.35) = 2.80 82 = 64
10 0.05 10(0.05) = 0.50 102 = 100
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2βP(x)
![Page 22: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/22.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16
6 0.25 6(0.25) = 1.50 62 = 36
8 0.35 8(0.35) = 2.80 82 = 64
10 0.05 10(0.05) = 0.50 102 = 100
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2βP(x)
![Page 23: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/23.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 368 0.35 8(0.35) = 2.80 82 = 64
10 0.05 10(0.05) = 0.50 102 = 100
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2βP(x)
![Page 24: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/24.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64
10 0.05 10(0.05) = 0.50 102 = 100
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2βP(x)
![Page 25: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/25.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64 64(0.35) = 22.40
10 0.05 10(0.05) = 0.50 102 = 100
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2βP(x)
![Page 26: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/26.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64 64(0.35) = 22.40
10 0.05 10(0.05) = 0.50 102 = 100 100(0.05) = 5.00
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Create a column of x2βP(x)
![Page 27: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/27.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64 64(0.35) = 22.40
10 0.05 10(0.05) = 0.50 102 = 100 100(0.05) = 5.00
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Sum the column of x2βP(x)
![Page 28: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/28.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64 64(0.35) = 22.40
10 0.05 10(0.05) = 0.50 102 = 100 100(0.05) = 5.00
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9
π 2=β [π₯2 βπ (π₯ )]βπ2
Sum the column of x2βP(x)Ξ£[x2βP(x)]=40.2
![Page 29: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/29.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64 64(0.35) = 22.40
10 0.05 10(0.05) = 0.50 102 = 100 100(0.05) = 5.00
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9 Ξ£[x2βP(x)]=40.2Variance
![Page 30: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/30.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64 64(0.35) = 22.40
10 0.05 10(0.05) = 0.50 102 = 100 100(0.05) = 5.00
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9 Ξ£[x2βP(x)]=40.2
π=βπ2
![Page 31: Desk work 4](https://reader035.fdocuments.in/reader035/viewer/2022070519/58ee68901a28ab441f8b46ef/html5/thumbnails/31.jpg)
Find the mean, variance, and standard deviation of the probability distribution.
X P(x) xβP(x) x2 x2βP(x)2 0.15 2(0.15) = 0.30 22 = 4 4(0.15) = 0.604 0.20 4(0.20) = 0.80 42 = 16 16(0.20) = 3.206 0.25 6(0.25) = 1.50 62 = 36 36(0.25) = 9.008 0.35 8(0.35) = 2.80 82 = 64 64(0.35) = 22.40
10 0.05 10(0.05) = 0.50 102 = 100 100(0.05) = 5.00
π=β [π₯ βπ (π₯ )]=5.9
Ξ£[xβP(x)]=5.9 Ξ£[x2βP(x)]=40.2
π=βπ2=β5.39β2.32Standard Deviation