2. Consider the probability distribution on the next a) E (:) x = }ECx)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Transcribed Image Text:2. Consider the probability distribution on the next slide and prove that:
a) E () x = E(x)
b) V(7Y + 1) = 7²V(Y)
Transcribed Image Text: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
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