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In an experiment, the number of insects on a randomly selected plant is recorded.a Specify the sample space for this experiment.b Give the set A representing the event of at most three insects being on the plant.c Explain why each of the possible outcomes in the sample space is not equally likely.

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Answer:

{0, 1, 2, 3, 4, 5,....} ;

{0, 1, 2, 3} ;

Step-by-step explanation:

Number of insect on a randomly selected plant

The number of insect in such an experiment will be an integer value ;

Hence, sample space will be ;

{0, 1, 2, 3, 4, 5,....}

B.) Event of at most three insects:

Number of insects = 0 ;

Number of insect = 1 ;

Number of insect = 2 ;

Number of insect = 3 ;

n ≤ 3 {x : x ≤ 3}

{0, 1, 2, 3}

3.)

Each possible outcome in the sample space cannot be equally likely due to the fact that the number of insects on the selected plants will vary. With some plants having none to large number of insects while some have small amount of insects.