Use the probability distribution given in the table below and consider two new random variables, W = 2 + 6X and V = 9+ 5Y, to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X = 0) No Rain (X=1) Total Long commute (Y = 0) 0.43 0.11 0.54 Short commute (Y = 1) Total 0.15 0.31 0.46 0.58 0.42 1.00 Compute the mean of W. E(W) = (Round your response to two decimal places) Compute the following probabilities: If Y is distributed N (2,4), Pr (Y≤4) = (Round your response to four decimal places.)
Use the probability distribution given in the table below and consider two new random variables, W = 2 + 6X and V = 9+ 5Y, to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X = 0) No Rain (X=1) Total Long commute (Y = 0) 0.43 0.11 0.54 Short commute (Y = 1) Total 0.15 0.31 0.46 0.58 0.42 1.00 Compute the mean of W. E(W) = (Round your response to two decimal places) Compute the following probabilities: If Y is distributed N (2,4), Pr (Y≤4) = (Round your response to four decimal places.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Please help me with both the questions (they are two different question). Thank you

Transcribed Image Text:Use the probability distribution given in the table below and consider two new random variables, W = 2 + 6X and
V = 9+ 5Y, to answer the following questions
Joint Distribution of Weather Conditions and Commuting Times
Rain (X = 0)
No Rain (X=1)
Total
Long commute (Y = 0)
0.43
0.11
0.54
Short commute (Y = 1)
Total
0.15
0.31
0.46
0.58
0.42
1.00
Compute the mean of W.
E(W) =
(Round your response to two decimal places)

Transcribed Image Text:Compute the following probabilities:
If Y is distributed N (2,4), Pr (Y≤4) = (Round your response to four decimal places.)
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