Problem 1. To study the CGPA of SIT students, 100 students are drawn at random and their CGPAs are as follows. 1.77, 2.07, 2.59, 3.03, 3.34, 1.86, 2.24, 2.30, 2.97, 1.55, 2.23, 2.12, 2.409, 4.44, 2.12, 1.61, 1.95, 1.88, 3.84, 3.85, 1.34, 4.06, 3.60, 2.97, 2.60, 2.92, 1.58, 2.62, 2.93, 2.37, 4.56, 3.29, 2.68, 3.05, 2.54, 2.32, 2.78, 3.51, 2.24, 3.39, 3.06, 1.88, 3.41, 4.44, 2.71, 4.17, 3.53, 3.20, 2.92, 2.93, 3.06, 2.28, 2.80, 4.00, 3.70, 3.40, 1.39, 3.15, 4.65, 2.64, 3.34, 3.24, 1.74, 2.44, 2.85, 2.58, 3.32, 2.73, 3.43, 2.35, 2.91, 3.67, 2.76, 0.94, 4.79, 2.56, 3.26, 1.43, 2.81, 4.52, 3.38, 2.58, 0.92, 2.73, 1.90, 2.45, 3.47, 3.58, 1.70, 2.65, 2.79, 3.95, 1.40, 1.56, 4.00, 0.45, 2.20, 3.79, 1.28, 0.81 (a) Identify a suitable distribution for the CGPAs of SIT students. (b) Using the method of moments, find estimators for the unknown parameters of the distribution in (a). Are they unbiased estimators? (c) Using the given data, find an estimate for the unknown parameters of the distribution in (a)