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 more than two shoplifting incidents will occur during a given day.
0.45
0.25
0.2
0.80
0.35
To find the probability that more than two shoplifting incidents will occur during a given day, we need to add the probabilities of 3 and 4 shoplifting incidents occurring:
P(X > 2) = P(X = 3) + P(X = 4)
P(X > 2) = 0.3 + 0.15
P(X > 2) = 0.45
Therefore, the probability that more than two shoplifting incidents will occur during a given day is 0.45.
The correct answer is 0.45.