Friedman and Johnson (1997) show that for a wide range of dynamic optimization problems, supermodularity is both necessary and sufficient for monotone static results. In the present context, this implies that our supermodular model requires the minimum set of assumptions to obtain monotonicity in the optimal decision variables.
2
The evidence presented here needs to be supplemented with information about inter- and intrafamily income transfers. This issue was addressed in a follow-up survey, but analysis of the results is not yet complete.
The probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%. And the events are mutually exclusive.
<h3>What is the
addition rule of size for two subsets?</h3>
For two subsets A and B of the universal set U, we have:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
The probability of a new york teenager owning a skateboard is 0.37, of owning a bicycle is 0.36, and of owning both is 0.27.
Then the probability of the teenager owning a skateboard or a bicycle will be
P(A ∪ B) = 0.37 + 0.36 - 0.27
P(A ∪ B) = 0.73 - 0.27
P(A ∪ B) = 0.46
Thus, the probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%.
The events are mutually exclusive.
Learn more about the addition rule for two subsets here:
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Answer:
20
Explanation:
You would set up a proportion in order to solve this
3 green 12 green
------------ = ------------
8 total x total
Then you would cross mulitply for x and get 32. Since that is the total number, you would have to subract the 12 from 32 to get 20.
