Problem 1. For each of the following random variables decide whether it has a uniform distribution, binomial distribution, Poisson distribution, geometric distribution, or neither (Hint: you should use each of the these exactly once). No explanation is necessary, simply state which distribution you choose for each of the examples. (a) A six-sided die is rolled 5 times and X is the random variable that returns the value of the first roll. (b) A six-sided die is rolled 5 times and Y is the random variable that returns the sum the values on the five rolls. (c) A six-sided die is rolled 5 times and Z is the random variable that counts the number of rolls that show a 4 in the five rolls. (d) The random variable W counts the number of rolls of a six-sided die it takes to get a 4. (e) The random variable V counts the number of tsunamis that occur in Japan during a 100-year period