he 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 more than two but less than four shoplifting incidents will occur during a given day.
0.45
0.3
0.2
0.75
0.45
To determine the probability that more than two but less than four shoplifting incidents will occur during a given day, we need to find the sum of the probabilities of having 3 shoplifting incidents and 4 shoplifting incidents.
Since the probability of 3 shoplifting incidents is 0.3 and the probability of 4 shoplifting incidents is 0.15, the total probability of having more than two but less than four shoplifting incidents is:
0.3 (probability of 3 incidents) + 0.15 (probability of 4 incidents) = 0.45
Therefore, the probability that more than two but less than four shoplifting incidents will occur during a given day is 0.45.