Q1
. A passenger airline executive has observed the following frequencies for the number of passengers in flight 205
from New York to Los Angles. The probability distribution of the number of passengers showing up is given in a
table in the worksheet Q1
Let the random variable X= “Number of passengers”. Use spreadsheet to answer the following questions. In the
worksheet “Q1” clearly mark which numbers in which cells answer which of the following questions:
1a) Create a column and calculate the cumulative distribution function of X in tabular form for each of the values
from 215 to 238.
1b) What is the probability that more than 220 passengers show up in a given day?
1c) What is the probability that fewer than 218 passengers show up in a given day.
1d) What is the probability that between 222 and 230 passengers show up in a given day? (Include 222 and 230 in
your calculations)
Qa. Continuing question 1, suppose that if fewer than 220 passengers show up, then the airline needs to have only
five crew members in the plane. If 220 or more, but fewer than 230 passengers show up they must have have eight
crew members in the plane. Finally if 230 or more passengers show up then they must have eleven crew in the plane.
Define the random variable Y= “Number of crew in the plane”. Answer the following questions using spreadsheet.
2a) Calculate and write down in tabular form the probability density function of Y.
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 Fall '08
 Staff
 Normal Distribution, probability density function, Crew, Cumulative distribution function

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