2. Consider the problem of classifying a papaya into two classes namely "tasty" and "non-tasty" based on its smoothness feature x[0,100]. Assume that the class is represented by a random variable where it takes value 1 for the class "tasty" and takes the value 0 for the class "non-tasty". Consider the Baye's decision theory to solve this problem. Assume that P(=1)=43. Also assume that the classconditional probability distribution functions are defined as p(xi)=2i21e2i2(xi)2, for i{0,1}. Here, 0=20,1=50,0=10,1=10. Consider two new papayas with smoothness values x=40 and x=30. Find the classes of these two new papayas using the Baye's decision theory. Find the error of classification for both the samples. [8 Marks]