3. Consider the following given data. Sl num 1 2 3 4 LO 5 6 Data 16.9 3.7 18.9 5.6 14.1 6.1 [6] It is required to obtain two groups from the above given data into clusters A and B. Both the groups are represented with the Gaussian distribution. For cluster, A is initialized with a mean of 5.0 and standard deviation of 1.0 while cluster B is initialized with a mean of 10.0 and standard deviation of 1.5. Perform the cluster based on the Expectation-Maximization technique assuming the prior probabilities of each cluster A and B is 0.5. Show the two iterations of the Expectation-Maximization technique and each iteration compute the likelihood, posterior probabilities, mean, and variance for each cluster. [6]