The following table lists the probability distribution of the number of shoplifting incidents that occur during a day at a certain shopping center:
Number of shoplifting incidents 0 1 2 3 4
Probability 0.1 0.2 0.25 0.3 0.15
Determine the expected number of shoplifting incidents during a given day.
0.1
0.10
2.2
2.3
0.5
To determine the expected number of shoplifting incidents during a given day, you need to multiply each number of incidents by their respective probabilities and then sum them up.
Expected number = (0 * 0.1) + (1 * 0.2) + (2 * 0.25) + (3 * 0.3) + (4 * 0.15)
Expected number = 0 + 0.2 + 0.5 + 0.9 + 0.6
Expected number = 2.2
Therefore, the expected number of shoplifting incidents during a given day is 2.2.
So the correct answer is 2.2.