The random variable X represents: Ans: The variable X (on the horizontal axis) is described above as people per household. Probabilly Using the completed probability distribution below, explain why it is indeed a legitimate probability distribution. XX 1 2 5 To be a probability distribution, two conditions must be satisfied. POX=x]P(X= 28 34 -18 14 06 1. Each of the probabilities must be between 0 and 1. Certainly .28. . 34, . 18. 14, and .06 are all between 0 and 1. 2. The sum of all of the probabilities must equal 1. Indeed, 28+ 34 - 18 - 14 + 06 =1. XX 1 2 4 5 Using the completed probability distribution below, show that the sum of the areas of all of P(X=x)P(X=x the rectangles is one 34 18 28 14 106 Ane: The sum of the area: = 1(.20) + 1(.34) - 1(18) + 1(14) - 1(06) = 1