32. The intensity of light reflected by an object is measured. Suppose there are two types of possible objects, A and B. If the object is of type A, the measurement is normally distributed with mean 100 and standard deviation 25; if it is of type B, the measurement is normally distributed with mean 125 and standard deviation 25. A single measurement is taken with the value X 120. a. What is the likelihood ratio? b. If the prior probabilities of A and B are equal ( each), what is the posterior probability that the item is of type B? c. Suppose that a decision rule has been formulated that declares the object to be of type B if X > 125. What is the significance level associated with this rule?