# 1.On one busy holiday weekend a national airline has many requests for a standby

Wednesday July 6, 2022

1.On one busy holiday weekend a national airline has many
requests for a standby flights at half of the usual one way air fare.
however past experience has shown that these passengers have only about 1
in 5 chance of getting on the standby flight. when they fail to get on a
flight as a standby there only other choice is to fly first class on
the next flight out. suppose that the usual one way air fare to a
certain city is \$285 and the cost of flying first class is \$573. should a
passenter who wishes to fly to this city opt to fly as a standby?2. a machine is set to pump water
into a pool at the rate of 10 gallons per minute. Upon inspection it
is learned that the
machine actually pumps water at a rate described by the uniform
distribution over the interval 8.5 to 12.5 gallons per minute. Find the
probability that between 10.5 gallons and 11.5 gallons are pumped during
a randomly selected minute3. describe a uniform distribution 4. the area under a standard normal density curve with mean of 0 and standard deviation of 1 in________?5. what three values are equal in a normal distribution?6. Suppose that prices of a certain model of new homes are normally
distruted with a mean of \$142000 and a standard deviation of \$1100 find
the persentage of buyers who paid more than \$152400 7. an
airline reports that it has been experiencing a 17% rate of noshow on
advanced reservations. among 150 advanced reservations find the
probability that there will be rewer than 20 no shows.

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