A police department reports that the probabilities 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.43, 0.03, and 0.01, respectively.
a) Assuming the above information describes a probability distribution, how many burglaries, on average, should the police department expect on any given day? Round to 2 decimal places.
b) Would it be significantly high for 2 burglaries to be reported on any given day? Explain using statistics.
Provide work.
