Assume that the airline still sells 340 tickets for the 280-seat flight, but that all tickets are sold in groups of 4 and that each group of four only shows up with probability 0.854, since the entire group will only travel if all four in the group can travel. Compute the exact probability that there will be enough seats for everyone who shows up, noting that each party only shows up in full or not at all. Express your probability to three decimal places.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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Assume that the airline still sells 340 tickets for the 280-seat flight, but that all tickets are sold in groups of 4 and that each group of four only shows up with probability 0.854, since the entire group will only travel if all four in the group can travel. Compute the exact probability that there will be enough seats for everyone who shows up, noting that each party only shows up in full or not at all. Express your probability to three decimal places.

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