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1- In the story of The Sword in the Stone, a sword is stuck into a...

1- In the story of The Sword in the Stone, a sword is stuck into a stone and only the True Ruler of the kingdom can pull it back out. What if instead the sword could be pulled out by anyone with 1 in 1 million chance? Say each person can pull the sword out of the stone independently of any other person and that over time, an infinite number of people could try.

a) What number of people do we expect to have tried to pull the sword from the stone when the sword is finally pulled out?

2- If X has a geometric distribution with parameter p = .7, find

a) P(X≥8).P(X≥8). Please write this in terms of FX(x)FX(x) and then calculate it in R. Please round to the nearest 7 decimal places.

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