An octahedral die has eight faces numbered from 1 to 8. The random variable X is the score obtained when the die is thrown. The bias of the die is such that P(X = r) = 1/10 for r = 1, 2, 3, 4, 5 P(X = r) = 1/6 for r = 6, 7, 8 P(X < 6) = P(X ≥ 6) (i) (The die is thrown twice. Calculate the probability that the sum of the two scores is 10. (ii)The random variable Y is the sum of the scores when the die is thrown 48 times. Measure the mean and variance of Y.
An octahedral die has eight faces numbered from 1 to 8. The random variable X is the score obtained when the die is thrown. The bias of the die is such that P(X = r) = 1/10 for r = 1, 2, 3, 4, 5 P(X = r) = 1/6 for r = 6, 7, 8 P(X < 6) = P(X ≥ 6) (i) (The die is thrown twice. Calculate the probability that the sum of the two scores is 10. (ii)The random variable Y is the sum of the scores when the die is thrown 48 times. Measure the mean and variance of Y.
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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2. An octahedral die has eight faces numbered from 1 to 8. The random variable X is the score
obtained when the die is thrown. The bias of the die is such that
P(X = r) = 1/10 for r = 1, 2, 3, 4, 5
P(X = r) = 1/6 for r = 6, 7, 8
P(X < 6) = P(X ≥ 6)
(i) (The die is thrown twice. Calculate the probability that the sum of the two scores is 10.
(ii)The random variable Y is the sum of the scores when the die is thrown 48 times.
Measure the mean and variance of Y.
(iii) Assuming that Y has a
and 260 inclusive.
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