Please show work and provide excel formulas for plots so that I can understand how to do the assignment. The density function of a continuous random variable X, the total number of hours, in units of...

Please show work and provide excel formulas for plots so that I can understand how to do the assignment. The density function of a continuous random variable X, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is described by the following probability density function:
a. Plot the PDF and CDF between the values of 0 < x="">< 2="" b.="" what="" is="" the="" average="" (mean)="" number="" of="" hours="" per="" year="" that="" families="" run="" their="" vacuum="" cleaners="" c.="" find="" the="" 60th="" percentile="" number="" of="" hours="" per="" year="" that="" families="" run="" their="" vacuum="" cleaners="" d.="" find="" the="" probability="" that="" families="" run="" their="" vacuum="" cleaners="" between="" 50="" and="" 120="" hours="" per="">