Topic: ILLUSTRATING NORMAL DISTRIBUTION MELC: Illustrate normal random variable and its characteristics (M11/12SP-Illc-1 PROPERTIES OF NORMAL CURVE 1. The normal curve is that it is bell-shaped. 2. The normal curve is symmetrical about its equidistant or center. same measure both sides -3 -2 - 3 -2 2 3 -1 0 1 2 3. The mean, median, and mode coincide at 4. The width of the curve is determined by the the center. standard deviation of the distribution. Mean , Standard median, deviation mode -3 - 2 5. The tails of the curve are plotted in both - 30 - 20 - 10 20 30 directions and flatten out indefinitely along 6. The total area under a normal curve is 1. the horizontal axis. The tails are thus asymptotic to the baseline. Area = 1 - 2 Remember! Normal Probability Distribution-is the probability distribution of Continuous Random Variable. Z Normal Curve-graphical representation of -2 -1 0 2 3 the normal probability distribution. -3 The shape of a normal curve is based on the two parameters. The mean and standard deviation of the distribution.A. Fill in the blanks with appropriate word or phrase to make a meaningful statement. 1. The probability distribution of continuous random variable is called 2. The total area under the curve is equal to 3. The graphical representation of the normal probability distribution is 4. The tails of the curve are to the base line. 5. The curve is about its center. 6. The mean, median, and mode of the normal curve are 7. The standard normal curve is a normal probability distribution that has a mean of and standard deviation of 8. The shape of a normal curve is based on the two given parameters. The and the of the distribution. 9. The width of the curve is determined by the of the distribution. 10. Normal probability distribution is used to determine the and of the continuous random variables in the distribution. B. Given the normal curve, locate the given z values in the curve. Find the area that corresponds to the given z values using the z-table, then shade the required area. 1. Between z=0 and z=1.77 2. To the right of z=-1 N 2 -3 -1 0 2