Let's say I have a bird feeder that feeds 1 bird at a time. From past observations I know that if there is a bird at the bird feeder, there is a 50% probability that the bird is a Cardinal, 30% it's a Blue Jay, and 20% it's a Raven.

However, I can also detect it's wing span. Let's say a Cardinal has an average wing span of 5.7" and a standard deviation of 0.2". A Blue Jay has an average wing span of 5.9" and a standard deviation of 0.15". A Raven has an average wing span of 6.3" and a standard deviation of 0.25".

If there is a bird at the feeder with a wing span of 5.8", what are the odds it is a Cardinal, Blue Jay, or Raven?