Choose six different number at random from 1~45 what's the expected value of number of choosing...
Choose six different number at random from 1~45
what's the expected value of number of choosing until each number
from 1~45 has been drawn ?
please explain thoroughly. Thanks
Homework Answers
Here we want to select six different number at random from 1~45
That is we choose the numbers from uniform distribution.
So the expected value = ( 1 + 45)/2 = 23
We need as many as samples of size 6 so we get each number from 1~45.
So the expected value of number of choosing until each number from 1~45 has been drawn = expected value of the sample mean = population mean = 23
Therefore answer of this question is 23.
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Choose six different number at random from 1~45
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