A device has been created which can supposedly classify blood as type A, B, AB, or O. The device measures a quantity X, which has density   If 0 3, the blood is of type O. In the population as a...

A device has been created which can supposedly classify blood as type A, B, AB, or O. The device measures a quantity X, which has density

If 0<><> 3, the blood is of type O. In the population as a whole, 8 is distributed according to the density

The loss in misclassifying the blood is given in the following table.

If X = 4 is observed, what is the Bayes action?