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 probability that less than four shoplifting incidents but more than one shoplifting incident will occur during a given day.
0.55
0.03
0.2
0.73
0.27
To determine the probability that less than four shoplifting incidents but more than one shoplifting incident will occur, we need to find the probability of 2 or 3 incidents occurring.
Probability of 2 incidents = 0.25
Probability of 3 incidents = 0.3
So, the total probability of 2 or 3 incidents occurring is:
0.25 + 0.3 = 0.55
Therefore, the probability that less than four shoplifting incidents but more than one shoplifting incident will occur during a given day is 0.55.