Let N denote adults against using animals for research, and M denote adults not against using animals for research. In a sample of two adults, the number of adults who are against using animals for research can be 0 (given by MM), 1( given by NM or MN) or 2 (given by NN). Thus, x can assume any of three possible values: 0, 1, or 2. The probabilities of these three outcomes are calculated as follows: P(0) = P(MM) = 0.49 P(1) = P(NM or MN) = P(NM+MN) = 0.21+0.21 = 0.42 P(2) = P(NN) = 0.09 Using these probabilities, we can write the probability distribution of x as in the table shown below.
Work Step by Step