# Math Help - PLEASE PLEASE help with this statistic problem!

1. ## PLEASE 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!

2. Originally Posted by Kalyn
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!
Well to calculate, for example, the odds of 9 people catching it, you multiply $0.4^9 * 0.6^8 * 17C9$. 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.