What's More A. Determine the mean or expected value of each Random Variable. Write your answer in your answer sheets. 4 12 20 P(s) 0.1 0.5 0.2 0.2 t 5 10 20 2 50% 12% 38% W 1/ 12 176 1/3 1/2 P(w) 1/2 1/ 10 1/5 1/5 4. Find the mean of the probability distribution of the random variable X, which can take only the values 1, 2, and 3, given that P(1) =, 2, P(2) = , and P(3) = 35. 5. The probabilities of a machine manufacturing 0, 1, 2, 3, 4, and 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005 respectively. Find the mean of the probability distribution. B: Determine the Variance and Standard Deviation of each random variable. Write your answer in your answer sheets, 2 P(x) 2. Z 2 4 8 0.1 6.2 1 3 5 3 Pim 40% 25% 15% 20%4. The random variable X, representing the number of nuts in a chocolate bar has the following probability distribution, Compute the variance and standard deviation. X 2 3 P(x) 10 10 10 10 10 5, The number of items sold per day in a sari-sari 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 Probability X P(x) 19 0.20 20 0.20 21 0.30 22 0,20 0.10 What I Have Learned Answer the following questions in your own understanding. 1. How to compute the mean of a discrete random variable? State the 3 steps. Write your answer in your answer sheets, 2. How to find the variance and standard deviation of a discrete random variable? Write your answer in your answer sheets