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 and equal to three shoplifting incidents but more than zero shoplifting incident will occur during a given day.

0.1


0.3


0.2


0.75


0.25

1 answer

To find the probability that less than or equal to three shoplifting incidents but more than zero shoplifting incident will occur during a given day, we will add the probabilities for 1, 2, and 3 incidents.

Probability of 1 incident = 0.2
Probability of 2 incidents = 0.25
Probability of 3 incidents = 0.3

Adding these probabilities:
0.2 + 0.25 + 0.3 = 0.75

Therefore, the probability that less than or equal to three shoplifting incidents but more than zero shoplifting incident will occur during a given day is 0.75.