An octahedral die has eight faces numbered from 1 to 8. The random vài obtained when the die is thrown. The bias of the die is such that for r= 1, 2, 3, 4, 5 P(X=r)=c P(X=r) =d for r= 6, 7, 8 P(X< 6) = P(X>6) Compute the values of c and d. Estimate that E(X) = 5 and find the variance of X. The die is thrown twice. Calculate the probability that the sum of the two scores is 10. (ii) 0oores when the die is thrown 48 times.

An octahedral die has eight faces numbered from 1 to 8. The random vài obtained when the die is thrown. The bias of the die is such that for r= 1, 2, 3, 4, 5 P(X=r)=c P(X=r) =d for r= 6, 7, 8 P(X< 6) = P(X>6) Compute the values of c and d. Estimate that E(X) = 5 and find the variance of X. The die is thrown twice. Calculate the probability that the sum of the two scores is 10. (ii) 0oores when the die is thrown 48 times.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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