SOLUTION: Can someone help me with this question and provide answers to the questions? Standard amounts of five different insecticides are found to kill 35%, 45%, 85%, 65% and 90% respective

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Question 607992: Can someone help me with this question and provide answers to the questions? Standard amounts of five different insecticides are found to kill 35%, 45%, 85%, 65% and 90% respectively of a fixed size of insect population. If one of the insecticides is chosen at random, what is the probability that it will kill:
a) at least 65% of the insect population?

b) at least 45% of the insect population?

c) between 40% and 80% of the insect population?

d) If two of the insecticides are chosen at random, what is the probability that any one of the pair chosen will kill at least 85% of the insect population?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

 highlight%285%29 types killing 35%, 45%, 65%, 85%, and 90% of the Insects

choosing one at tandom

 P(≥ 65%) = 3/5

 P(≥ 45%) = 4/5

 P(40%-80%) = 2/5

If two of the insecticides are chosen at random

P(anyone of the pair ≥ 85) = 1-not chosen = 1-3%2F5%2A2%2F4  = 1-6/20 = 14/20 = 7/10