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Bob was away last week and did not engage with the contents of the lectures of his modules. This week he is back again but hasn't catched up with the lectures yet. Let X be the proportion of material that he will understand in this week's Probability lecture, and Y the proportion of material he will understand in this week's Calculus lecture. The joint probability density function for the two random variables is of the form fx.y(x,y) = 0.1 x+ 1.9 y, for 0

Bob was away last week and did not engage with the contents of the lectures of his modules. This week he is back again but hasn't catched up with the lectures yet. Let X be the proportion of material that he will understand in this week's Probability lecture, and Y the proportion of material he will understand in this week's Calculus lecture. The joint probability density function for the two random variables is of the form fx.y(x,y) = 0.1 x+ 1.9 y, for 0

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Find the value of A and B
Bob was away last week and did not engage with the contents of the lectures of his modules. This week he is back again but hasn't catched up with the lectures yet. Let X be the proportion of material that he will understand in this week's Probability lecture, and Y the proportion of material he will understand in this week's Calculus lecture. The joint probability density function for the two random variables is of the form fx.y(x,y) = 0.1 x + 1.9 y, for 0<x<1, 0<y<1 0, otherwise Give your answers to the following questions to two decimal places. (a) The marginal probability density function of the proportion of material he will understand in the Probability lecture is given by: fx(x) = A x + B, for 0<x<1 0, elsewhere
Transcribed Image Text:Bob was away last week and did not engage with the contents of the lectures of his modules. This week he is back again but hasn't catched up with the lectures yet. Let X be the proportion of material that he will understand in this week's Probability lecture, and Y the proportion of material he will understand in this week's Calculus lecture. The joint probability density function for the two random variables is of the form fx.y(x,y) = 0.1 x + 1.9 y, for 0<x<1, 0<y<1 0, otherwise Give your answers to the following questions to two decimal places. (a) The marginal probability density function of the proportion of material he will understand in the Probability lecture is given by: fx(x) = A x + B, for 0<x<1 0, elsewhere
(b) The conditional probability density function of the proportion of what he will understand in the Calculus lecture given that he understands only a third of the material of the Probability lecture is given by: fy/x=1/3(y) = Cy + D, for 0<y<1 0, otherwise
Transcribed Image Text:(b) The conditional probability density function of the proportion of what he will understand in the Calculus lecture given that he understands only a third of the material of the Probability lecture is given by: fy/x=1/3(y) = Cy + D, for 0<y<1 0, otherwise
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