2. Consider the probability distribution on the next slide and prove that:. a. E (; x) = ¿E(X) b. V (7Y + 1) = 7²v(Y) а. X = 1 X = 2 x = 3 x = 4 x = 5 x = 6 X = 7 x = 8 X = 9 Y = 1 1,198 1,357 1,965 1,083 1,256 1,070 1,418 1,300 1,068 Y = 2 1,425 1,099 1,185 1,396 1,474 1,451 1,085 1,498 1,184 Y = 3 972 1,401 977 1,128 1,851 1,109 751 1,275 1,049 Y = 4 1,318 1,405 1,332 1,487 1,061 1,295 1,004 1,347 1,191 Y = 5 849 924 1,476 1,221 1,594 1,371 1,217 1,452 1,006 Y = 6 1,086 1,139 905 1,184 1,942 1,072 1,218 1,359 1,143 Y = 7 1,337 1,152 753 1,065 1,724 1,099 830 1,346 668 Y = 8 1,192 607 915 1,673 1,425 1,278 1,411 1,599 960 Y = 9 845 1,268 837 1,576 1,309 1,894 1,130 1,317 1,167
2. Consider the probability distribution on the next slide and prove that:. a. E (; x) = ¿E(X) b. V (7Y + 1) = 7²v(Y) а. X = 1 X = 2 x = 3 x = 4 x = 5 x = 6 X = 7 x = 8 X = 9 Y = 1 1,198 1,357 1,965 1,083 1,256 1,070 1,418 1,300 1,068 Y = 2 1,425 1,099 1,185 1,396 1,474 1,451 1,085 1,498 1,184 Y = 3 972 1,401 977 1,128 1,851 1,109 751 1,275 1,049 Y = 4 1,318 1,405 1,332 1,487 1,061 1,295 1,004 1,347 1,191 Y = 5 849 924 1,476 1,221 1,594 1,371 1,217 1,452 1,006 Y = 6 1,086 1,139 905 1,184 1,942 1,072 1,218 1,359 1,143 Y = 7 1,337 1,152 753 1,065 1,724 1,099 830 1,346 668 Y = 8 1,192 607 915 1,673 1,425 1,278 1,411 1,599 960 Y = 9 845 1,268 837 1,576 1,309 1,894 1,130 1,317 1,167
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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Transcribed Image Text:2. Consider the probability distribution on the next slide and prove that:.
a. E Ex) = E(X)
b. V (7Y + 1) = 7'v (Y)
X = 1
X = 2
X = 3
X = 4
x = 5
X = 6
X = 8
X = 9
X = 7
Y = 1
1,198
1,357
1,965
1,083
1,256
1,070
1,418
1,300
1,068
Y = 2
1,425
1,099
1,185
1,396
1,474
1,451
1,085
1,498
1,184
Y = 3
972
1,401
977
1,128
1,851
1,109
751
1,275
1,049
Y = 4
1,318
1,405
1,332
1,487
1,061
1,295
1,004
1,347
1,191
Y = 5
849
924
1,476
1,221
1,594
1,371
1,217
1,452
1,006
Y = 6
1,086
1,139
905
1,184
1,942
1,072
1,218
1,359
1,143
Y = 7
1,337
1,152
753
1,065
1,724
1,099
830
1,346
668
Y = 8
1,192
607
915
1,673
1,425
1,278
1,411
1,599
960
Y = 9
845
1,268
837
1,576
1,309
1,894
1,130
1,317
1,167
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