1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nastasia [14]
3 years ago
5

Let X and Y be random variables with the following joint moment generating function: M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{s+t}

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

We obtain the joint PMF directly from the joint MGF:

M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{s+t}

\implies\mathrm{Pr}[X=x,Y=y]=\begin{cases}0.1&\text{for }x=y=0\\0.2&\text{for }x=1,y=0\\0.3&\text{for }x=0,y=1\\0.4&\text{for }x=y=1\\0&\text{otherwise}\end{cases}

Then

\mathrm{Pr}[X=Y]=\mathrm{Pr}[X=Y=0]+\mathrm{Pr}[X=Y=1]=0.1+0.4=\boxed{0.5}

You might be interested in
How to solve 7(1+4n)+4
mylen [45]
7 + 28n + 4
28n + (7 + 4)
28n + 11
6 0
3 years ago
Which table represents the function y = 4x - 3?
Dafna11 [192]
X=1 is the answer hope this helps
4 0
3 years ago
Which of the following is NOT a guideline to follow when evaluating consumer information? a. Use a reliable and informed source
Dominik [7]
The statement which is NOT a guideline to follow when evaluating consumer information is C. Submit private information regardless of who is asking.
6 0
3 years ago
Read 2 more answers
PLEASE HURRYmy question is in the picture ​
Andreyy89
The answer t our question is the first one
I just substituted he number one in every x
The original equation is equal to 147 when x equals to 1
And the first option is also equal to 147 when x equals to one
5 0
3 years ago
Read 2 more answers
What is mesure of <MEF
Harrizon [31]
I think you forgot to add a photo
6 0
3 years ago
Other questions:
  • Quadratic Equations. Vertical Stretch ??? See photo
    11·1 answer
  • Simplify the polynomial: 2[4x-5(2x-1)]
    13·1 answer
  • Fill in the missing monomials: a 100x2= (_____)2
    15·2 answers
  • Meg has a piece of poster board that is two and two-fifths feet wide. she needs to fold it into three equal sections. how wide w
    13·1 answer
  • What is the mean for the set of data shown below? Please show work.
    11·2 answers
  • HELP!!!!I don’t get it. I need an explanation.
    11·1 answer
  • What is eight hundred sevnty seven times four
    14·1 answer
  • Who could help me please and thank you
    13·1 answer
  • Coach Withrite can bench press 325 lbs. How many kg can he bench?
    10·1 answer
  • What is the mean of 10 13 11 10 5 9
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!