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 )
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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