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5) We throw a fair sixsided die 5 times and get the random numbers X1,X2,X3,X4,X5. Let W be the number of throws followed by the

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5) We throw a fair sixsided die 5 times and get the random numbers X1,X2,X3,X4,X5. Let W be the number of throws followed by the same number. (So, for example if we throw X1 =1,X2 = 3,X3 = 3,X4 = 2,X5 = 3, we would have W = 1 because X2 = X3 = 3. If on the other hand, we have: X1 = 1,X2 = 1,X3 = 4,X4 = 4,X5 : 4, we would have W = 3 since X1 and X3 and X4 are all followed by the same number) a) What is E[W]? b) What is P(W = Cl)? \fQuestion 5b: again a^b means a to the power b O (4/6) 15 O 0.3 O (4/6)15 O (5/6)^4

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