Stat 371Fall 2017September 20, 2017Assignment #3 — Solutions1. A nefarious gambler has developed a weighted six-sided die, with sides marked 1,2,3,4,5, and 6. The proba-bility that a 6 is rolled is 0.4, and all the other sides are equally likely. Define the random variableX= thevalue on the die when it is rolled once.(a) Compute the expectation and variance ofX.

2. For each of the following questions, say whether the random process is a binomial process or not, and explainyour answer. As part of your explanation, you will want to comment on the potential validity of each of thefour things that must be true for a process to be a binomial process.(a) One basketball player attempts 10 free throws and the number of successful attempts is totalled.