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# Stats question watch

1. At a charity garden fete a simple game is played by throwing an unbiased dice until a six is thrown, when the game ends. The player donates 10p to the charity for every throw taken. Show that if 500 games are played then the organiser can be 95% sure that for this sample, the mean takings per game will exceed 56p.
2. (Original post by gooner1010)
At a charity garden fete a simple game is played by throwing an unbiased dice until a six is thrown, when the game ends. The player donates 10p to the charity for every throw taken. Show that if 500 games are played then the organiser can be 95% sure that for this sample, the mean takings per game will exceed 56p.
What have you tried so far?
3. (Original post by SeanFM)
What have you tried so far?
Hi, I don't know where to get started. I'm thinking it might be binomial or geometric ?
4. (Original post by gooner1010)
Hi, I don't know where to get started. I'm thinking it might be binomial or geometric ?
You're after the geometric distribution. You have a sequence of bernoulli trials (throwing the dice) and you're interested in the "waiting time" until a six appears. The distribution of waiting times is geometric. Can you get started now?
5. (Original post by Gregorius)
You're after the geometric distribution. You have a sequence of bernoulli trials (throwing the dice) and you're interested in the "waiting time" until a six appears. The distribution of waiting times is geometric. Can you get started now?
so it would be a geometric distrubution with mean 1 over p and variance 1 -p over p squared. Would this mean the continuity correction is 1/2 or 1/2n ?

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