4. (04.01 MC) Let x denote the number of missing pleces in a randomly selected 500-plece puzzle from a local thrift shop. The variable x has the following probability distribution:
X
0
1
2
3
4
P(X) 0.33 0.44 0.2 0.02 0.01
Calculate and interpret 0x (4 points)
O 0.33; if we were to select many puzzles randomly, we would expect about 0.33 to have all their pieces
O 0.83; if we were to select many puzzles randomly, the number of missing puzzle pieces would typically vary about 0.83 from the mean
O 0.94; if we were to select many puzzles randomly, we would expect about 0.94, on average, to be missing pleces
O 0.2; if we were to select many puzzles randomly, the number of missing puzzle pieces would typically vary about 0.2 from the mean
O 1.58; if we were to select many puzzles randomly, we would expect about 1.58, on average, to be missing pleces