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 survive?

7.74%

Step-by-step explanation:

Let X, be the number of insects killed, the probability that exactly 5 insects will survive is the probability of killing exactly two insects.

Probability of success, P(X) = 0.6

Number of successes, X = 2 deaths

Number of trials, n = 7 insects

The probability that exactly 5 insects will survive is 7.74%.

0.2207

Step-by-step explanation:

P(insect is killed) = 0.6

P(insect survives) = 1 - 0.6 = 0.4

Sample size (n) = 11

X  Binomial (p=0.40, n=11)

=

= 0.2207 (4 d.p)

1     3    

step-by-step explanation:

hopefully im right