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I have the answers but want to make sure I'm doing this right, can you please do as much step by step process as possible. Mostly worried about 6 and 7.

Questions 5-9: A fair, 6-sided die is tossed until the same outcome is observed twice in a row. Let X denote the total number of times the die is tossed. Determine the pmf of X and compute each of the following. 5. P(X 4) 6. P(X 2 6) 7、 P(X = 6) 8. E(X) [HINT: for Irl < 1 we have Σ201㎡-r/(1-r)21 9. Var(X) HINT: (1-r) for rl1]

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1-5 1-도 6 - L5 χ리 2. 2 6 52 11 62-

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