STATISTICS AND PROBABILITY [58 marks] 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...
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STATISTICS AND PROBABILITY [58 marks] 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. 1a. Find the exact value of p. [1 mark] Markscheme 4 2 ( ) 18 9 A1 [1 mark] Jae Hee plays the game once. 1b. Calculate the expected score. [2 marks] Markscheme 1 4 3 7 −3 × 18 + (−1) × 18 +0× 18 +…+5× 18 (M1) Note: Award (M1) for their correct substitution into the formula for expected value. = 1.83 ( 33 18 , 1.83333 …) A1 [2 marks]
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