Math Problem Statement
1 2 3 4 5 6 7 8 9 10 D U D D U D D D U D U D U U D U U U D U U D U U U D U U U U U U D D U D D U U D U D D U U D D U D U D D D U D U D D U U U D D D U U U U U D U D D D U D D D D D D U D D D U U D U U D U U D D U U U D D D U D U U D D U D D U D U D D D D U U D U D D D U D D U U D U U U U U U U U U D D U D D U D U D U D D D D U U U D U D U U U U U U U U D U U U D D U U D D D U U D D U U D U D D U U D D U D U U U U U D D U D D D D U D U U U D U D D D U U D U U U D U U D D D D D D U D U U D D D D U D D D D D U U U D U U D U U D D D D D D D D D U U U U U U U U U D U D U D D D U D D D U U U D D D D D D D D U U D D D D U U U D D U U D U D U U D U U D U U D U D U U U D D U U U U U D U D U U U U U U U U U D U U D D D U U U D D D D U U U U D U U U U D U U U D D U U D U U U D D D D D D U D U U D U U D D U U D D U D U D U D U U D U U D U U U U D D D U U D U U U U U U U U U U D U U D U D U U D D U D U D U D U D U U U D D U D U U D U D D U U D U U U D D U D U U D D D U U U U U U D D D U D D U U D U U D U D D U D D D D U U D D D U D U D U U U D D D D U U D U U U D U D U D U D D U U D D U U U U D D U D D D D D U D U D U D U U U U D D D D D D U U D U D D D U D D D D U U D D U D D D U U D U U U D U U U D U U U D U U D D U D D U U U D U U D U D D U D U U U U U U U U D U D D D U D D D D U U U U U D U D D U U U U D D D U D U U D U D U U D U D U D D D D U U U D U D U D U D U D D U D U U D U U U U D U D D D D D D D U D U U D U D D D D D U D D U D D U U D U U U D D U D U D D D D U D U D D D U U D D U D D U U U U U D D D U D U D U D D U D U U D D U D U D U D D D U U U U D D U U U D D D U D U D D U U U D U U U U D D U D D U D D U D D U U U D U D U U D U U D U U U U U U U D D U U D D D D U U D U D D U D D D D D U U D D D D U D U D U D D D U U D U D D U D D U U D D D D D U U U D U D U D U U U U U U D D U D D U U D U U U U D U D U D D D D D U U D U U D D U U U D D U D U D U U U U U D U D U D U D D D D U U D D U D D U U U U D U U U U D D U D D U U U D D D D D D D U U D D D U U U D D D U D U D D D U D U U D D U D D Suppose that on each of the next 100 business days the stock market has a 1/2 chance of going up and a 1/2 chance of going down, and its behavior one day is independent of its behavior on another day. The table provides a 10 randomly generated simulations of the market for 100 days. Complete parts a through c below. a. What is the longest sequence of consecutive moves up or consecutive moves down that you observe in the first simulation? The longest sequence has enter your response here consecutive moves.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Random Processes
Formulas
None, involves analysis of sequences and probability-based simulation
Theorems
Law of Large Numbers
Independence in Probability
Suitable Grade Level
Grades 9-12
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