Probability of winning the lottery
The probability of winning the lottery is one in a million. Determine the probability that it takes exactly 1000 tickets to win lottery if each attempt is independent? Determine the probability it takes at least 1000 tickets to win?
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Determine the expected value for the best decision? Round your answer to the nearest whole number.
A fair coin is tossed four times. Let X denote the longest string of heads. Determine the distribution and expectation of X.
Trees are somewhat less complicated than graphs, which makes things like data searching easier, when data has the structure of a tree. However, not all data can be represented by a tree.
The set of all possible sequences of moves in a chess game can be represented by a tree (decision tree). If you were to write a chess-playing computer program that can determine the best move at each step by searching the tree of possible moves an
The probability that an American computer company will outsource its technical support to China is 0.6; the probability that it will outsource its support to India is 0.5, and the probability that it will outsource its support to either China or I
The two shorter sides of a right triangle have lengths of 7.11 meters and 3.78 meters. What is the area of the triangle?
Speculate upon how many connected components a random graph might have if the likelihood of edge (v1,v2) being in the set E is 50%. Do you think the number of components would depend upon the size of the vertex set V? Explain why or why not.
You're an electrical engineer designing new integrated circuit involving potentially millions of components. How would you employ graph theory to organize how many layers your chip should have to handle all of the interconnections, for example? Wh
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