A certain insecticide kills 80% 80% of all insects in laboratory experiments. A sample of 14 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.

The probability that exactly 2 insects will survive = 0.2501

Step-by-step explanation:

Given: A certain insecticide kills 80% of all insects in laboratory experiments.

The probability that a particular insect survives= 1-0.80=0.20

Sample size: n=14

Binomial probability distribution:

, where x= number of successes , p=probability of success in each trial, n= sample size.

The probability that exactly 2 insects will survive =

Hence, the probability that exactly 2 insects will survive = 0.2501

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !