Activity 1: Determine whether the distribution represents a probability distribution. If it does not, state why. Ex. X 2 3 4 5 P.D. 3. X 2 5 6 8 P(X) 3 1 2 / 36 10 10 10 10 10 P(X) 1. X 20 30 40 50 4. X 3 6 8 12 P(X) 0.05 0.35 0.4 0.2 P(X) 0.3 0.5 0.7 -0.8 2. X 5 10 15 5. X 3 6 8 P(X) 1.2 0.3 0.5 P(X) -0.3 0.6 0.7Activity 3: 1. Defective Transistors: From experience, a company has found that in cartons of transistors, 92% contain no defective transistors, 3% contain one defective transistor, 3% contain two defective transistors, and 2% contain three defective transistors. Find the mean, variance, and standard deviation for the defective transistors. About how many extra transistors per day would the company need to replace the defective ones if it used 10 cartons per day? 2. Suit Sales: The number of suits sold per day at a retail store is shown in the table, with the corres onding, probabilities. Find, the mean, variance, and standard deviation of the .'k Number of suits l 7 " sold X 19 20 21 22 23 Probability P00 0.2 0.2 0.3 0.2 0.1