Answer Happy

Suppose that a certain butcher shop has an electronic scale. When a meat loaf is placed on the scale, the reading is a combination of the true weight plus a random error. We have two meat loafs of unknown weights B, and By. To estimate the weights of the two meat loafs, we measure them four times using the scale as follows: 1. Put meat loaf 1 on the scale and observe y 2. Put meat loaf 2 on the scale and observe y 3. Put both meat loafs on the scale and observe yz 4. Put both meat loafs on the scale and observe ya Suppose the random errors, i = 1,2,3,4, are iid normal distribution with mean zero and variance o?. (3) Find the distribution of the total weight 0 = 8,+B.