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 2 insects will survive? Round your answer to four decimal places.

Question

Mathematics

Natalia Holder

22 July, 03:17

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 2 insects will survive? Round your answer to four decimal places.

+4

Answers (1)

Know the Answer?

Madisyn Cunningham · Answer 1

0.2613

Step-by-step explanation:

Use binomial probability.

P = nCr p^r q^ (n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

P = ₇C₂ (0.6) ⁵ (0.4) ²

P = 0.2613