Can anyone help me in understanding this problem? I am not being able to understand which distribution this sum follows. Hence, not sure how to write the likelihood function. Please help. (ref. to the two files attached herewith)
In cases like this, when the frequency and the probabilities of different events are given, we obtain the likelihood function by, say, L= P1^f1 ×P2^f2 and so on for all the events. Here it will be 'probability of going up' to the power it's 'frequency' multiplied similarly with both other events function
Thank you Aditya for your help. Now I could do (ii), (iii)(a) and (iii)(b). But I am stuck at solving the easiest part i.e. (i). For solving (i), I am just solving following three inequalities considering the fact that probability should be between 0 to 1: 0 <= (1/4 - theta) <= 1 0 <= (5/8 + 2*theta) <= 1 0 <= (1/8 - theta) <=1 This is giving rise to (-7/8) <= theta <= (3/16) But the given answer is (-5/6) <= theta <= (1/8) Where am I making mistake???
