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Airlines sometimes overbook flights. Suppose that for a plane with 50 sets, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. If you are the first person on the standby list (.which means you will be the first one to get on the plane if there are any seats available after all ticketed passengers have been accommodated), what is the probability that you will be able to take the flight? What is this probability if you are the third person on the standby list? Solution The cumulative distribution of Y is shown in following table. First person in the standby list is the passanger number 51. Therefore, probability that the first person in the standby list is able to take the flight is P(51) = 0.17 Third person in the standby list is the passanger number 53. Therefore, probability that the third person in the standby list is able to take the flight is P(53) = 0.06yp(y)P(Y)550.010.01540.020.03530.030.06520.050.11510.060.17500.170.34490.250.59480 .140.73470.120.85460.10.95450.051.

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An alpha helix that crosses a lipid bilayer is held together by: A. hydrophobic interactions B. hydrogen bonds parallel to the helix C. hydrogen bonds perpendicular to the helix D. hydrogen bonds between R groups E. interactions with the lipid bilayer Solution Answer would be option A. hydrophobic interaction The hydrophobic interactions favours among phospholipids and glycolipids.

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