17 people have been exposed to a disease, each has 40% chance of contracting the disease. a hospital has the capacity to handle 10 cases of the disease. What is the probability that the hospital's capacity will be exceeded? THANK you!

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- Mar 7th 2009, 01:52 PMKalynPLEASE PLEASE help with this statistic problem!
17 people have been exposed to a disease, each has 40% chance of contracting the disease. a hospital has the capacity to handle 10 cases of the disease. What is the probability that the hospital's capacity will be exceeded? THANK you!

- Mar 7th 2009, 02:01 PMJeWiSh
Well to calculate, for example, the odds of 9 people catching it, you multiply $\displaystyle 0.4^9 * 0.6^8 * 17C9$. Do you recognise this at all? It would take a while to calculate this for 11, 12, 13, 14, 15, 16 and 17 people catching. There are cumulative binomial probability tables with the data already calculated.