What Have I Learned So Far? Solve each problem on a separate sheet of paper. Show all necessary solutions. Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is...

Extracted text: What Have I Learned So Far? Solve each problem on a separate sheet of paper. Show all necessary solutions. Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x)= 3x2 for 0 < xs1.="" find="" the="" mean="" and="" variance="" of="" x.="" interpret="" the="" '1.="" results.="" od="" ed="" bluovw="" 3="" find="" the="" mean,="" variance,="" and="" standard="" deviation="" of="" the="" density="" functiongiven="" by="" f(x)="-" for=""><><2 of="" random="" variable="" x.="" x(2-x)="">


Extracted text: What HaveI Learned So Far? paper. Answer the following questions on a separate sheet of 1. Determine if each of the following situations illustrates a continuous random variable or not a. weight of a randomly selected grade 11 student b. number of Filipino people who will vote in the next national election fastest speed of a randomly selected car racer in a car racing competition d. a farmer's record of the number of mongo seeds in a sack C. 2. Let X be a continuous variable with probability density function f(x) = cx defined for 0sxS1, where c is constant. Find c. 3. Let X be a continuous random variable whose probability density function is defined by 3. f(x) = -x(2-x) for 0 <>< 2.="" find="" p="" let="" x="" be="" a="" continuous="" random="" variable="" whose="" probability="" density="" function="" is="" f(x)="1-|x|" for="" -1=""><><1. the="" triangular="" distribution="" of="" f="" is="" shown="" below.="" 4.="" diwsideihs="" ob="" vilidn="" 0.5="" -0.5="" 0.5="" sebl="" pi="" nl="" a.="" explain="" why="" fis="" a="" probability="" density="" function?="" b.="" find=""><1). c="" compute=""><1). c.=""><>< compute="" p(=""><>