\" MOST ESSENTIAI. EARNING CCOMPETENCY 1. Illustrate the mean and variance of a discrete random variable; lM11f125Pllib- 2| 2. Calculate the mean and the variance of a discrete random variable; IM11I125P-lllb-2] 3. Interpret the mean and the variance oi a discrete random variable; [MltzstI-lllb-al and 4. Solve problems involving mean and variance of probabilityr distributions. IM 11}125Pl|lb~4] [EARNING TASKS Read and studvthe lessons and examples in the module provided and answer the following activities: Learning Task 1: Determine the mean or expected value of each Random Variable. Write your answer in your answer sheets. 1. a 3 4 12 20 2.' w 1/12l 1/6 1/3 1/2 | "mum le} 1/2 l1/10 1/5 1/5| See example page 2 Solution: Solution: l1 = E [\"00] l1 = 2 [3000] learning Task 2. Determine the Variance and Standard Deviation of each random variable. Write your answer in your answer sheets. Learning Task 3/Perlormance Task: Answer the problem below. Follow the steps in the examples given in the pages 6-7. The number of items sold per day in a sarisari store, with its corresponding probabilities, is shown in the table below. Find the variance and standard deviation of the probability distribution. Number of Items Sold )t Probability Pix] 19 0.20