If you have n random real number in a ordered list {a_1,a_2,…,a_n} , what is the probability of there exist a number i, such that {a_1,…,a_i} is a monotonically increasing list, and {a_i,…,a_n} is a monotonically decreasing list.
If you have n random real number in a ordered list {a_1,a_2,…,a_n} , what is the probability of there exist a number i, such that {a_1,…,a_i} is a monotonically increasing list, and {a_i,…,a_n} is a monotonically decreasing list.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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If you have n random real number in a ordered list {a_1,a_2,…,a_n} , what is the probability of there exist a number i, such that {a_1,…,a_i} is a monotonically increasing list, and {a_i,…,a_n} is a monotonically decreasing list.
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