3) consider an experiment of rolling two regular (or fair) balanced six sided dice.Imagine they are on red and one black. A) list out all the possible out comes. B) define x as the " red minus black". Construct a probability distribution table for x . C) calculate E(x) and provide an interpretation for it. D) calculate sd (x) and provide an interpretation for it. 5) A randstad /harris interactive survey reported that 40% of employees said they are loyal to their company. Suppose 15 employees are selected randomly and will be interviewed about their loyality to their company. You can assume that there are over 15,000 employees in the company. A) is the selection of 15 employees a binomial experiment? Make sure you verify all four conditions of binomial experiment. B) what is the probability that none of the 15 employees will say that they are loyal to their company? C) what is the probability that 4 of the 15 employees will say that they are loyal to their company? Provide an interpretation of the value D) what is the probability that at least 4 but at most 10 employees(among the 15 employees) will say that they are loyal to their company