6) (5pts). A group consists of eight parents and four teachers. A committee consisting of 6 people is to be selected from this group of 12. Find the probability that the selected group will consist of three parents and three teachers.(Make sure to write out the steps before you use your calculator to get nPr or nCr answer). Leave your answer as a simplified fraction. 7) [9pts). Consider the discrete probability distribution below. 3 I, P(x,) 0.04 4 ? 6 8 0.07 0.31 a) Use the properties of probability, find the probability when x = 4 b) Find the mean Hx and standard deviation x for the discrete probability distribution above.