What I Have Learned Now that you have learned the concept of normal distribution, you may proceed to the next activity. Direction: Complete the given diagram below by filling up the necessary details about normal distribution. List 5 properties of normal distribution NORMAL DISTRIBUTION State the empirical rule. Construct a normal curve.B. Determine the Variance and Standard Deviation of each random variable. Write your answer in your answer sheets. 1 X 1 2 3 5 P(x) 2 Z 2 4 6 8 P(z) 0.6 0.1 0.2 0. 1 m 1 3 5 7 3 P(m 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 IN 3 4 P(x) 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 23 0. 10 E OWhat's More Directions: Read the instructions given and write your answers on a separate sheet of paper. A. Complete the table by converting the given values into z-scores. Then find the corresponding area using the z-table. Given Z- score Approximate area 1. x = 28 H = 16 6 - 5 2. x = 68 4 = 75 6 = 5 3. x = 1.72 4 = 1.6 6 = 0.2 4. X = 24 LI = 38 0 =8 5. x = 50 ! = 45 6 =6 B. Compute the following probabilities using the standard normal curve. Construct a curve then shade the region corresponding to the area. 1. P(Z > -1.53) 2. P(Z