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S3 ex3b q6 help

Need some help on this question, I have no clue 😳,

A baised six-sided die has probability p of landing on a six.Everyday ,for a period of 25 days ,the die is rolled 10 times and the number of sixes X is recorded giving rise to a sample,X1,X2,...........,X25
(a) Write down E(X) in terms of p
(b)show that the sample mean is a baised estimator of p and find the bias.
(c)suggest a suitable unbiased estimator of p
Original post by TBoy11
Need some help on this question, I have no clue 😳,

A baised six-sided die has probability p of landing on a six.Everyday ,for a period of 25 days ,the die is rolled 10 times and the number of sixes X is recorded giving rise to a sample,X1,X2,...........,X25
(a) Write down E(X) in terms of p
(b)show that the sample mean is a baised estimator of p and find the bias.
(c)suggest a suitable unbiased estimator of p


What have you got for part a?
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Original post by SeanFM
What have you got for part a?


I thought it was 250p but the answer is 10p, is this because they are only considering 1 day???
Original post by TBoy11
I thought it was 250p but the answer is 10p, is this because they are only considering 1 day???


Yes, the wording / question is quite confusing so at first sight you would think it was for the whole 25 days but actually it is just asking for one day.

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