A supplier of home heating oil has a 250-gallon tank that is filled at the beginning of each week. Since the weekly demand for the oil increases steadily up to 100 gallons and then levels off between 100 and 250 gallons, the probability distribution of the weekly demand Y (in hundreds of gallons) can be represented by    

If the supplier’s profit is given by W = 10Y - 2, find the probability density function of W.

Transcribed Image Text:

if 0 s y s 1 f(y) = if 1 s y s 2.5 2 0 elsewhere