Actual commuting time in minutes (T) depends on both the weather, and the length of commute. Suppose on a given day T= (1 – Y)(15 + 15X) + Y(45 +35X). The following table shows commuting times as a function of the random outcomes described in Part II: No rain (X= 0) Rain (X= 1) Соmmuting times (T) Short commute (Y= 0) Long commute (Y= 1) 15 min 30 min 45 min 80 min

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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hi, this is econometry & statistic question. It asks

  1. Verify the value reported for T in the cell for (X = 0, Y = 1)

  2. Calculate E(T) and interpret the number you found.

Actual commuting time in minutes (T) depends on both the weather, and the length of commute.
Suppose on a given day T= (1 – Y)(15+ 15X) + Y(45 + 35X). The following table shows
commuting times as a function of the random outcomes described in Part II:
Commuting times (T)
Short commute (Y= 0)
Long commute (Y= 1)
No rain (X= 0)
Rain (X= 1)
15 min
30 min
45 min
80 min
Transcribed Image Text:Actual commuting time in minutes (T) depends on both the weather, and the length of commute. Suppose on a given day T= (1 – Y)(15+ 15X) + Y(45 + 35X). The following table shows commuting times as a function of the random outcomes described in Part II: Commuting times (T) Short commute (Y= 0) Long commute (Y= 1) No rain (X= 0) Rain (X= 1) 15 min 30 min 45 min 80 min
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