A certain insecticide kills 60% of all insects in laboratory experiments. A sample

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

Step-by-step explanation:

Step(i):-

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion  p = 0.60

                           q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

Step(ii):-

Let "X' be the random variable of binomial distribution

The probability that exactly 10 insects will die

Final -

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

D.

Step-by-step explanation:

See attached photo.