The sides of a fair die are numbered 2, 3, 3, 4, 4 and 5. The die is thrown twice and the outcomes are added to give a total T a Construct a table for the probability distribution of T.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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7 The sides of a fair cubical die are
numbered 2, 3, 3, 4, 4 and 5. The die is
thrown twice and the outcomes are added.
to give a total T
a Construct a table for the probability
distribution of T.
b A game is designed so that if T is prime,
a prize of US$T is won. If T is a square
number, the player must pay US$x.
If T is any other number, no prize or
payment is made. Find the value of
US$x so that the game is fair.
Transcribed Image Text:7 The sides of a fair cubical die are numbered 2, 3, 3, 4, 4 and 5. The die is thrown twice and the outcomes are added. to give a total T a Construct a table for the probability distribution of T. b A game is designed so that if T is prime, a prize of US$T is won. If T is a square number, the player must pay US$x. If T is any other number, no prize or payment is made. Find the value of US$x so that the game is fair.
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