Can anyone help explain question 48? There seem to be a bunch of typos in the solution from the SOA. Thanks
"You are given the following joint distribution:
Theta
X | 0 1
0 |0.4 0.1
1 |0.1 0.2
2 |0.1 0.1
For a given value of Theta and a sample of size 10 for X:
X_bar = 10/10
Calculate the Bühlmann credibility premium."
If the question is not clear due to the lack of formatting. Theta can be 0 and 1. X can be 0,1, or 2. The probabilities of each combo are in the table.
"You are given the following joint distribution:
Theta
X | 0 1
0 |0.4 0.1
1 |0.1 0.2
2 |0.1 0.1
For a given value of Theta and a sample of size 10 for X:
X_bar = 10/10
Calculate the Bühlmann credibility premium."
If the question is not clear due to the lack of formatting. Theta can be 0 and 1. X can be 0,1, or 2. The probabilities of each combo are in the table.
SOA sample question 48