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) = 516.(ii) The table below shows the probability distribution of X. x 2 3 4 5 6 7 P(X=x) 5/16 1/16 3/8 1/8 1/16 1/16 Calculate E(X ) and Var(X )
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) = 516.(ii) The table below shows the probability distribution of X. x 2 3 4 5 6 7 P(X=x) 5/16 1/16 3/8 1/8 1/16 1/16 Calculate E(X ) and Var(X )
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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) = 516.(ii) The table below shows the probability distribution of X.
| x | 2 | 3 | 4 | 5 | 6 | 7 |
| P(X=x) | 5/16 | 1/16 | 3/8 | 1/8 | 1/16 | 1/16 |
Calculate E(X ) and Var(X ).
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