1) to find out the value of C and D for fY/X=1/3(y) = C y + D2) the expectation of the proportion of what he will understand in the probability lecture 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 upwith the lectures yet. Let X be the proportion of material that he will understand in this week's Probability lecture, and Y the proportion ofmaterial he will understand in this week's Calculus lecture. The joint probability density function for the two random variables is of the formfxy(x,y) = 1.4 x+ 0.6 y, for 0 (b) The conditional probability density function of the proportion of what he will understand in the Calculus lecture given that he understandsonly a third of the material of the Probability lecture is given by:fyx-1/3(y) = Cy+ D, for 0

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Answered: 1) to find out the value of C and D for…

1) to find out the value of C and D for fY/X=1/3(y) = C y + D 2) the expectation of the proportion of what he will understand in the probability lecture

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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Question

1) to find out the value of C and D for f_Y/X=1/3(y) = C y + D
2) the expectation of the proportion of what he will understand in the probability lecture

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
fxy(x,y) = 1.4 x+ 0.6 y, for 0<x<1, 0<y<1
0,
otherwise
Give your answers to the following questions to two decimal places.

(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:
fyx-1/3(y) = Cy+ D, for 0<y<1
0,
otherwise
Find the value of C.
Answer:
Find the value of D.
Answer:
(c) Find the expected proportion of what he will understand in the Probability lecture.
Answer:
(d) Are the two proportions (of what he will understand in the Probability lecture and of what he will understand in the Calculus lecture)
statistically independent?
a. Yes
b. No
c. Cannot say. I need more information.

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