plant a. Construct the probability distribution of the random variable, X, representing the number of planting plants infested by aphids b. What is the probability that all of the selected have aphids? c. What is the probability that at least one of the selected plants has aphids? d. What is the probability that at most, two selected plants have aphids?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A research greenhouse has 10 plants. Three have aphid infestations. Three plants are randomly selected.
a. Construct the probability distribution of the random variable, X, representing the number of planting
plants infested by aphids
b. What is the probability that all of the selected have aphids?
c. What is the probability that at least one of the selected plants has aphids?
d. What is the probability that at most, two selected plants have aphids?
Transcribed Image Text:A research greenhouse has 10 plants. Three have aphid infestations. Three plants are randomly selected. a. Construct the probability distribution of the random variable, X, representing the number of planting plants infested by aphids b. What is the probability that all of the selected have aphids? c. What is the probability that at least one of the selected plants has aphids? d. What is the probability that at most, two selected plants have aphids?
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