a} Let X be a continuous random variable with probability density function W.) given by, bilex: x20 0,. _ x f (C x )=c_'.r:. {.r'_. E. .e. Find, i. constantk ii. the mean ofx [8 Marks] lo) Industrial psychologists conduct an experiment to evaluate three methods of motivating employees in a factory. The researchers want to use a design that allows grouping by education. Scores on a test designed to measure effectiveness of the methods are as follows