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Well i am extremely thankful for the help you and other Bob has provided. Actually the problem is with concepts and applying correct formulas. i am first time studing statistics and probability. Now the instructor is not clear himself in class and creates alot of confusions. even combinations and permutations your website has elaborated in a very easy manner and he made it very difficult.
I usually understand the concept but when it comes to applying formulas i get confuse. Yes i have solved the question as you mentioned in above link and since i was unable to delete this post so couldnot do it after you replied same in other question.
In latex what you have written is all ok. This was what i wanted to write like that but i dont know who you write here in this website. The x = 1,2,3 and y = 1,2,3 have diff probabilities and yes they have to be sum up but how. our teacher says there is no single book to follow. You can study from anywhere.
yes 8th edition
Let X denote the reaction time, in seconds, to a certain stimulant and Y denote the temperature (oF) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint density,
fXY(x,y)={4xy, 0≤ x ≤1, 0≤y≤1
0, elsewhere
Find
a. P(0 ≤X≤½ and ¼ ≤Y≤½ );
b. P(X< Y)
erwin krezig
Suppose that the following table represents the joint probability mass function of the discrete RVs (X, Y):
a. Compute fX(x), fY(y), fXY(x|y) and fXY(y|x).
b. Decide whether Xand Yare independent.
pXY(x,y) --------------------- x
----------------------- 1 2 3
y ---------- 1 -------- 1/12 1/6 0
y ----------- 2 -------- 0 1/9 1/5
y----------- 3 --------- 1/18 ¼ 2/15
yes i know the integration but if you can tell me that which is the part a and b formuls i will solve. i took admission in MS and my first maths subject i am week in it. if you can solve i will be very grateful
i don't know the formulas and the solution of the question.
fXY are subscript as you have mentioned in your email. i could not make it in subscript.
A restaurant operates both a drive-in facility and a walk-in facility. On a randomly
selected day, let X and Y respectively be the portions of the time that the drive-in and
walk-in facilities are in use, and suppose that the joint density function of these
random variables is:
f XY(x,y)= {2/3(x+2y), 0 ≤ x ≤ 1,0 ≤ y ≤ 1
0, elsewhere}
a. Find the marginal density function of X and Y.
b. Find the probability that the drive-in facility is busy less than one-half of the
time.
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