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.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 14CT: An unbalanced coin weighted so that the probability of heads is 0.55. The coin is tossed ten times....
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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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