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 valu the random variable X, along with its probability). [2] b. Find P(XS 3).
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 valu the random variable X, along with its probability). [2] b. Find P(XS 3).
A First Course in Probability (10th Edition)
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![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).
[2] b. Find P(X S 3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03e6912f-22f3-4540-b556-b1207be7fcc0%2F837e9008-5cf8-486a-9a5d-814e9c9fb969%2F2mtchs_processed.jpeg&w=3840&q=75)
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).
[2] b. Find P(X S 3).
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