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S2 approximation help

what kind of approximation would you use for these:

1. A fair die is rolled and the number of sixes obtained is recorded. Using suitablle approximations find the probablility of:
a. No more than 10 sixes in 48 rolls of the die.


For a. the n is quite small, even though the p is small too so I always get confused whether to use binomial-poisson or not and since this question is in the normal approximations section of the book I dont know what to use because p isnt close to 0.5 either.
Original post by fpmaniac
what kind of approximation would you use for these:

1. A fair die is rolled and the number of sixes obtained is recorded. Using suitablle approximations find the probablility of:
a. No more than 10 sixes in 48 rolls of the die.


For a. the n is quite small, even though the p is small too so I always get confused whether to use binomial-poisson or not and since this question is in the normal approximations section of the book I dont know what to use because p isnt close to 0.5 either.


Personally I ignore those arbitrary conditions (although it is important to remember then and be able to recite them), and test out the poisson approximation like so: the tables (for Edexcel, at least) only go up to 10, so if the proposed lamba (i.e lambda = np) was greater than 10, then a normal approximation is suitable. If not, go for possion. (Basically, if you can use thet ables with poisson, go for it, if you can't then use normal).
Reply 2
Original post by SeanFM
Personally I ignore those arbitrary conditions (although it is important to remember then and be able to recite them), and test out the poisson approximation like so: the tables (for Edexcel, at least) only go up to 10, so if the proposed lamba (i.e lambda = np) was greater than 10, then a normal approximation is suitable. If not, go for possion. (Basically, if you can use thet ables with poisson, go for it, if you can't then use normal).


Thanks!

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