SOLUTION: a certain insecticide kills 50% of all insects in lab experiments a sample of 11 insects is exposed to the insecticide in a particular experiment what is the probability that exact

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Question 375390: a certain insecticide kills 50% of all insects in lab experiments a sample of 11 insects is exposed to the insecticide in a particular experiment what is the probability that exactly 6 insects will survive
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Note: The probability of x successes in n trials is:
P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively.
In this case p & q are = 1/2 or .5
nCx = n%21%2F%28x%21%28n-x%21%29%29 11C6 = 462
P(exactly 6 surviving)= 462*(.5)^6(.5)^5 = .2256