LO Page view A Read aloud V Draw Highlight QUESTION 3 Gohan throws a fair tetrahedral die with faces numbered 1, 2, 3, 4. If she throws an even number then her score is the number thrown. If she throws an odd number then she throws again and her score is the sum of both numbers thrown. Let the random variable X denote Gohan's score. (i) Show that P(X= 2) = . (ii) The table below shows the probability distribution of X. 2. 3 4 P(X=x) 16 8. 16 16 16 Calculate E(X) and Var(X). -/5 118

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Chapter1: Combinatorial Analysis
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QUESTION 3
Gohan throws a fair tetrahedral die with faces numbered 1, 2, 3, 4. If she
throws an even number then her score is the number thrown. If she throws
an odd number then she throws again and her score is the sum of both
numbers thrown. Let the random variable X denote Gohan's score.
(i) Show that P(X 2)
= .
16*
(ii) The table below shows the probability distribution of X.
4
5.
1
P(X=x)
16
16
16
16
Calculate E(X) and Var(X).
118
318
3.
Transcribed Image Text:O File C:/Users/USER/Desktop/enginering/TUTORIAL%208.pdf | CD Page view A Read aloud V Draw Highlight QUESTION 3 Gohan throws a fair tetrahedral die with faces numbered 1, 2, 3, 4. If she throws an even number then her score is the number thrown. If she throws an odd number then she throws again and her score is the sum of both numbers thrown. Let the random variable X denote Gohan's score. (i) Show that P(X 2) = . 16* (ii) The table below shows the probability distribution of X. 4 5. 1 P(X=x) 16 16 16 16 Calculate E(X) and Var(X). 118 318 3.
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