8. [8] Of the plants offered in a local garden and craft center, 18% are poinsettias and are artificial. Given that a plant is artificial, the probability of it being a poinsettia is .43. If a plant is selected at random, find the probability that it is artificial State all probabilities and formulas needed to solve the problem. Show all work.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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[2] d. Are the events "is a small scooter" and "Is a red scooter" mutually exclusive? Justify your answer.
8. [8] Of the plants offered in a local garden and craft center, 18% are poinsettias and are artificial. Given that a
plant is artificial, the probability of it being a poinsettia is.43. If a plant is selected at random, find the probability
that it is artificial. State all probabilities and formulas needed to solve the problem. Show all work.
Transcribed Image Text:[2] d. Are the events "is a small scooter" and "Is a red scooter" mutually exclusive? Justify your answer. 8. [8] Of the plants offered in a local garden and craft center, 18% are poinsettias and are artificial. Given that a plant is artificial, the probability of it being a poinsettia is.43. If a plant is selected at random, find the probability that it is artificial. State all probabilities and formulas needed to solve the problem. Show all work.
9. Two fair 4-sided fair die are rolled. The outcomes of this experiment are as follows:
S=
(1,1), (1,2), (1,3), (1,4)
(2,1), (2,2). (2,3), (2,4)
(3,1), (3,2), (3,3), (3,4)
(4,1), (4,2), (4,3), (4,4)
Let the random variable, X, denote the sum of the two numbers rolled.
[4] a. Find the probability distribution of the random variable associated with this experiment (list the values of
the random variable X, along with its probability).
Transcribed Image Text:9. Two fair 4-sided fair die are rolled. The outcomes of this experiment are as follows: S= (1,1), (1,2), (1,3), (1,4) (2,1), (2,2). (2,3), (2,4) (3,1), (3,2), (3,3), (3,4) (4,1), (4,2), (4,3), (4,4) Let the random variable, X, denote the sum of the two numbers rolled. [4] a. Find the probability distribution of the random variable associated with this experiment (list the values of the random variable X, along with its probability).
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