Statistics Help Requested (Discrete Distributions)

  • Thread starter nichojo
  • Start date
  • #1
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Homework Statement



The problem:

An airline always overbooks, if possible. A particular plane has 95 seats on a flight and the airline sells 100 tickets.

If the probability of an individual not showing is 0.05, assuming independence, what is the probability that the airline can accommodate all the passengers who show up?

Homework Equations



Binomial and Poisson

The Attempt at a Solution



I tried taking the sum from 1 to 95 (X<=95) with a choose of (100, x) * (.95)^x * (.05)^(100-x)

with no luck. I've also tried numerous other sequences, but I feel i'm stuck.

Thanks in advance.
 

Answers and Replies

  • #2
370
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What is the probability that 4 don't show up? 3? 2? 1? 0? Add them up.
 

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