1.3 Khayelitsha Gas & Paraffin suppliers have a 300-gallon tank that is filled at the beginning of each week. The weekly demand shows a relative frequency behaviour that increases steadily up to 200...


1.3 Khayelitsha Gas & Paraffin suppliers have a 300-gallon tank that is filled at the beginning<br>of each week. The weekly demand shows a relative frequency behaviour that increases steadily<br>up to 200 gallons and then levels off between 200 and 300 gallons. If Y denotes weekly demand<br>in hundreds of gallons, the relative frequency of demand can be modelled by:<br>y <0<br>y, 0<y<1<br>1< y< 1.5<br>0, elsewhere<br>y /2<br>0s ys1<br>f(y) = {1,<br>F(y) =<br>y -1/2 1< y<1.5<br>1<br>y >1.5<br>1.3.1 Use F(y) to find P(0 < Y < 0.3) and use f(y) to find and validate your answer.<br>1.3.2 Find P(0.5 < Y < 1.4).<br>1.4 Daily total solar radiation for a specified location in Cape Town in January has a<br>probability density function given by<br>= {1/9)(4 – y)²,5 < ys7<br>0,<br>fG)<br>elsewhere<br>with measurements in hundreds of calories. Find the expected daily solar radiation for<br>January. Find the standard deviation and interpret your answers.<br>

Extracted text: 1.3 Khayelitsha Gas & Paraffin suppliers have a 300-gallon tank that is filled at the beginning of each week. The weekly demand shows a relative frequency behaviour that increases steadily up to 200 gallons and then levels off between 200 and 300 gallons. If Y denotes weekly demand in hundreds of gallons, the relative frequency of demand can be modelled by: y <0 y,=""><><1><>< 1.5="" 0,="" elsewhere="" y="" 2="" 0s="" ys1="" f(y)="{1," f(y)="y" -1/2=""><><1.5 1="" y="">1.5 1.3.1 Use F(y) to find P(0 < y="">< 0.3)="" and="" use="" f(y)="" to="" find="" and="" validate="" your="" answer.="" 1.3.2="" find="" p(0.5="">< y="">< 1.4).="" 1.4="" daily="" total="" solar="" radiation="" for="" a="" specified="" location="" in="" cape="" town="" in="" january="" has="" a="" probability="" density="" function="" given="" by="{1/9)(4" –="" y)²,5="">< ys7="" 0,="" fg)="" elsewhere="" with="" measurements="" in="" hundreds="" of="" calories.="" find="" the="" expected="" daily="" solar="" radiation="" for="" january.="" find="" the="" standard="" deviation="" and="" interpret="" your="">

Jun 04, 2022
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