(a) What is the shortest time that an insect can be on a plant and stay as long as at least 50% of all insects on the plant? (b) A student is assigned to watch an insect until it flies. They want to know the time that will be exceeded only with a probability of 0.05. (c) If an insect has been observed for 2 minutes without its moving from the plant, what is the probability that it will be there for at least 2 more minutes?
(a) What is the shortest time that an insect can be on a plant and stay as long as at least 50% of all insects on the plant? (b) A student is assigned to watch an insect until it flies. They want to know the time that will be exceeded only with a probability of 0.05. (c) If an insect has been observed for 2 minutes without its moving from the plant, what is the probability that it will be there for at least 2 more minutes?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:2 In a particular model of insect behaviour, the time that an insect spends on a plant is
exponentially distributed with a mean of 2 minutes.
(a) What is the shortest time that an insect can be on a plant and stay as long as at least
50% of all insects on the plant?
(b) A student is assigned to watch an insect until it flies. They want to know the time that
will be exceeded only with a probability of 0.05.
(c) If an insect has been observed for 2 minutes without its moving from the plant, what is
the probability that it will be there for at least 2 more minutes?
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