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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).

1.3.1 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).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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, 0<y<1 1< y< 1.5 0, elsewhere y /2 0s ys1 f(y) = {1, F(y) = y -1/2 1< y<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 answers.
Transcribed Image 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, 0<y<1 1< y< 1.5 0, elsewhere y /2 0s ys1 f(y) = {1, F(y) = y -1/2 1< y<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 answers.
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