SOLUTION: A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 7 insects is exposed to the insecticide in a particular experiment. What is the probability th

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Question 1185783: A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 7 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 5 insects will die? Round your answer to four decimal places.
Answer by ikleyn(52788) About Me  (Show Source):
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A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 7 insects is exposed
to the insecticide in a particular experiment. What is the probability that exactly 5 insects will die?
Round your answer to four decimal places.
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It is the binomial type probability distribution.


The number of trials n= 7; the probability of the success trial is  0.6,  and the number of success trials k = 5. 


    P = C%5B7%5D%5E5%2A0.6%5E5%2A%281-0.6%29%5E%287-5%29 = %28%287%2A6%29%2F%281%2A2%29%29%2A0.6%5E5%2A0.4%5E2 = 0.2613  (rounded).     ANSWER

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.