The probability that a roadway will be flooded i times in any one year is given by the fol...

The probability that a roadway will be flooded i times in any one year is given by the following mass function:

Find the value of k that makes this a legitimate probability-mass function. Plot the mass and cumulative functions and find the following probabilities: (a) P(2 floods), (b) P(i ≼ 3), (c) P(i > 1), and (d) P(2 ≼ i<4).