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Q1 (a). There are 8 chairs in a row, on the upper deck of a boat, attached to the floor by screws and nails. A sociologist observed that from the first 4 passengers who sat in that row no two sat next to each other. Based on this observation, can she conclude that, when possible, passengers avoid taking seats next to occupied ones? Hint: Suppose that passengers occupied the seats at random and calculate the proba- bility of what the sociologist observed.

Q1 (a). There are 8 chairs in a row, on the upper deck of a boat, attached to the floor by screws and nails. A sociologist observed that from the first 4 passengers who sat in that row no two sat next to each other. Based on this observation, can she conclude that, when possible, passengers avoid taking seats next to occupied ones? Hint: Suppose that passengers occupied the seats at random and calculate the proba- bility of what the sociologist observed.

A First Course in Probability (10th Edition)
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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Dear Expert ! Using basic concept used in Probability, kindly solve following questions, Conceptually Correct & Step by Step. Will surely LIKE CORRECT answer and DISLIKE INCORRECT answers. Q1 (a). There are 8 chairs in a row, on the upper deck of a boat, attached to the floor by screws and nails. A sociologist observed that from the first 4 passengers who sat in that row no two sat next to each other. Based on this observation, can she conclude that, when possible, passengers avoid taking seats next to occupied ones? Hint: Suppose that passengers occupied the seats at random and calculate the proba- bility of what the sociologist observed. Q1 (b). For k > 1, n > k, how many distinct positive integer vectors (x1, x2,... , xk) satisfy + xk > n? the inequality x1 + x2 + · · .
Transcribed Image Text:Dear Expert ! Using basic concept used in Probability, kindly solve following questions, Conceptually Correct & Step by Step. Will surely LIKE CORRECT answer and DISLIKE INCORRECT answers. Q1 (a). There are 8 chairs in a row, on the upper deck of a boat, attached to the floor by screws and nails. A sociologist observed that from the first 4 passengers who sat in that row no two sat next to each other. Based on this observation, can she conclude that, when possible, passengers avoid taking seats next to occupied ones? Hint: Suppose that passengers occupied the seats at random and calculate the proba- bility of what the sociologist observed. Q1 (b). For k > 1, n > k, how many distinct positive integer vectors (x1, x2,... , xk) satisfy + xk > n? the inequality x1 + x2 + · · .
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