Jae Hee plays a game involving a biased six-sided die. The faces of the die are labelled -3, -1, 0, 1, 2 and 5. The score for the game, X, is the number which lands face up after the die is rolled. The following table shows the probability distribution for X. Score x -3 -10 312 1 P(X=x) 18 18 18 18 18 la. Find the exact value of p. Jae Hee plays the game once. 1b. Calculate the expected score. 1c. Jae Hee plays the game twice and adds the two scores together. Find the probability Jae Hee has a total score of -3. 2.

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Chapter1: Combinatorial Analysis
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Jae Hee plays a game involving a biased six-sided die.
The faces of the die are labelled -3, -1, 0, 1, 2 and 5.
The score for the game, X, is the number which lands face up after the die is
rolled.
The following table shows the probability distribution for X.
Score x
-3 -1
1
1
P(X=x) 15
3
P
18
18
18
18
la. Find the exact value of p.
Jae Hee plays the game once.
1b. Calculate the expected score.
1c. Jae Hee plays the game twice and adds the two scores together.
Find the probability Jae Hee has a total score of –3.
Transcribed Image Text:Jae Hee plays a game involving a biased six-sided die. The faces of the die are labelled -3, -1, 0, 1, 2 and 5. The score for the game, X, is the number which lands face up after the die is rolled. The following table shows the probability distribution for X. Score x -3 -1 1 1 P(X=x) 15 3 P 18 18 18 18 la. Find the exact value of p. Jae Hee plays the game once. 1b. Calculate the expected score. 1c. Jae Hee plays the game twice and adds the two scores together. Find the probability Jae Hee has a total score of –3.
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