Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the randor 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. 45 46 47 48 49 50 51 52 53 54 55 P(Y) 0.05 0.10 0.12 0.14 0.25 0.17 0.03 0.06 0.05 0.02 0.01 Calculate V(Y) and oy. (Round your variance to four decimal places and your standard deviation to two decimal places.) V(Y) Oy = Determine the probability that Y is within 1 standard deviation of its mean value.

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 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 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.
y
45
46
47
48
49
50
51
52
53
54
55
p(v) 0.05 0.10 0.12 0.14 0.25 0.17 0.03 0.06 0.05 0.02 0.01
Calculate V(Y) and oy. (Round your variance to four decimal places and your standard deviation to two decimal places.)
V(Y)
Determine the probability that Y is within 1 standard deviation of its mean value.
Transcribed Image Text:Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 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. y 45 46 47 48 49 50 51 52 53 54 55 p(v) 0.05 0.10 0.12 0.14 0.25 0.17 0.03 0.06 0.05 0.02 0.01 Calculate V(Y) and oy. (Round your variance to four decimal places and your standard deviation to two decimal places.) V(Y) Determine the probability that Y is within 1 standard deviation of its mean value.
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