Note: The area under a probability density function is 1. for a uniform distribution Example 1: A continuous random variable is uniformly distributed with. (a) Draw a graph of the uniform density function. Area of rectangle = Height x Width 1 = Height x (b - a) Height = = = Area of rectangle = Height x Width (b) What is ? = * (30 - 20) = * 10 = = 0.25 (c) What is ? Area of rectangle = Height x Width (x< 15) = (x≤ 15) = * (15 10) P P – = 15) = * 5 P x (10≤ ≤ = = 0.125 Objective B: Normal distribution – Bell-shaped Curve
Note: The area under a probability density function is 1. for a uniform distribution Example 1: A continuous random variable is uniformly distributed with. (a) Draw a graph of the uniform density function. Area of rectangle = Height x Width 1 = Height x (b - a) Height = = = (b) What is ? Area of rectangle = Height x Width = * (30 - 20) = * 10 = = 0.25 (c) What is ? Area of rectangle = Height x Width P (x< 15) = P (x≤ 15) = * (15 – 10) = P (10≤ x ≤ 15) = * 5 = = 0.125 Objective B: Normal distribution – Bell-shaped Curve