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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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