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Dear All,

I have a probability question that may seem easy (and, quite
possibly is) but is causing me some brain ache.

I have two groups. I am measuring calcium on them and they
form two normal distributions. Now if I take a calcium reading
at random from the population, what is the probability that
the person is from group A?

The person can only be in group A or group B, but not both as
the groups are mutually exclusive.

Im guessing if this involves likelihood ratios that I can
extend this to the bivariate normal distribution which is my
eventual aim.

Thanks for your time

Paul Wicks
Statistician
South Manchester University Hospitals Trust
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