Thread: rolling a die ...

greets

Originally Posted by shirel

Exercise:

A die is rolled 600 times. how many times does face 5 show up?
Specify a reasonable range. Discuss why you prefer that one over other possible estimates.
how certain is your estimate? For which range would you be absolutely certain?

how would you answer?
thanks for showing me your ideas, thoughts, explanations, calculations..

greets

See the answer to your other question about the distribution of the number
of times a 5 will come up.

Now 600 times is a large number of rolls so we may as well use the normal
approximation to the binaomial distribution, in this case it will have mean:



and standard deviation:



So you would expect the number of 5's to be , where
the value of is chossen by you depending on what confidence you want
that the actual number lies in the interval, often a value of is used.

RonL