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Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets....

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(y)

 0.05 0.10 0.12 0.14 0.25 0.17 0.05 0.02 0.06 0.01 0.03

Calculate V(Y) and σY. (Round your variance to four decimal places and your standard deviation to two decimal places.)

Determine the probability that Y is within 1 standard deviation of its mean value.

Math   Statistics-And-Probability   
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