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52 68 Problem 6. (8 points) A six-sided die is loaded in a way that each odd number is twice as likely as each even number. All odd faces are equally likely, as are all even faces. (1) (5 points) Construct a probabilistic model for a single roll of this die; By constructing a probablistic model it means you should provide the sample space and the probabilities of all single events. (2) (3 points) Find the probability that the outcome is less than 4.
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Answer #1

Solution:-

6)

i)

P(x) 0.22222 0.22222 0.22222 2 4 5 6 Sum

ii) P(x < 4) = 0.5555

P(x < 4) = P(x = 1) + P(x = 2) + P(x = 3)

P(x < 4) = 0.2222 + 0.11111 + 0.2222

P(x < 4) = 0.5555

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