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
Sav [38]
3 years ago
6

A box contains three cards, labeled 1, 2, and 3. Two cards are chosen at random, with the first card being replaced before the s

econd card is drawn. Let X represent the number on the first card, and let Y represent the number on the second card.
A. Find the joint probability mass function of X and Y.
B. Find the marginal probability mass functions pX(x) and pY(y).
C. Find µX and µY.
D. Find µXY.
E. Find Cov(X,Y).
Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that a box ontains three cards, labeled 1, 2, and 3.

Two cards are chosen at random, with the first card being replaced before the second card is drawn.

Let X represent the number on the first card, and let Y represent the number on the second card.

Since drawing is done with replacement, we find that X and Y are independnet

A) Joint pdf of x and y are

     

y    x 0 1 2 3 Total

0 0.0625 0.0625 0.0625 0.0625 0.25

1 0.0625 0.0625 0.0625 0.0625 0.25

2 0.0625 0.0625 0.0625 0.0625 0.25

3 0.0625 0.0625 0.0625 0.0625 0.25

Total 0.25 0.25 0.25 0.25  

B) Pdf of X is

x        0     1       2       3

p    0.25  0.25 0.25 0.25

and Y also will have same pdf

C) \mu_x = 0.25(0+1+2+3) = 1.5\\\mu_y = 0.25(0+1+2+3) = 1.5

D) \mu_{xy } =E(x) E(y) = 2.25

E) Cov (x,y) =0 since X and Y are independent

You might be interested in
A bus pass cost $5 a week which of the following shows the total cost in dollars t
Wewaii [24]
5(t)

It will be $5 times however many weeks
8 0
3 years ago
The order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games
Tatiana [17]

The order of magnitude for total attended for a high school football team is 3

<h3>How to determine the order of magnitude?</h3>

The given parameters are:

Average number of fan = 1000

Number of home games = 5

The total number of fans in the 5 games is:

Total number of fans = Average number of fan * Number of home games

Substitute known values in the above equation

Total number of fans = 1000 * 5

Express 1000 as 10^3

Total number of fans = 10^3 * 5

Rewrite the equation as:

Total number of fans = 5 * 10^3

The power of 10 represents the order of magnitude

Since the power of 10 is 3, the order of magnitude is 3

Hence, the order of magnitude for total attended for a high school football team that averages 1,000 fans for each of its 5 home games is 3

Read more about order of magnitude at:

brainly.com/question/15698632

#SPJ1

4 0
2 years ago
Since there are 6.6 laps in a mile, how many laps will you have to make to run 5 miles?
mezya [45]

Answer:

33 laps

Step-by-step explanation:

we know that

There are 6.6 laps in a mile

so

using proportion

Find how many laps will you have to make to run 5 miles

so

Let

x ----> the number of laps

\frac{6.6}{1}\frac{laps}{mile}=\frac{x}{5}\frac{laps}{mile} \\ \\x=6.6*5\\ \\ x=33\ laps

4 0
2 years ago
Pls help asap! It’s due in one hour!!
AfilCa [17]
1. t = 7
2. t = 0
i think? although I’m not 100% sure
8 0
2 years ago
How do I solve: 15 - w/4 = 28 (this is 2 step equations)
kenny6666 [7]
First we need to isolate the variable so we add 15 to both sides which is
w/4=43  then we need to multiply by 4 to both sides so its 4w=172
then divide by 4 which is 43 so the answer is w=43
8 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify.
    15·1 answer
  • doughnuts are sold in bags and cartons a bag holds 4 doughnuts and a carton holds 10 doughnuts tom buys b bags of doughnuts and
    10·1 answer
  • Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 303030 meters below the edg
    10·1 answer
  • The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side
    11·2 answers
  • Which movie had the audience with the younger median ?
    6·1 answer
  • What is Зу =х- 48 in slope intercept form
    14·1 answer
  • Which of the following correctly graphs the system of equations?<br><br> {y=x−3<br> y=−2x+3
    13·1 answer
  • 9. Si Diana compro una botella de aguardente, una de vino y una de wisky, todas por $260.000 botella de wisky costo el doble que
    5·1 answer
  • 4) What is the equation of the line that passes through the points (3,0) and 2 points
    13·1 answer
  • HELPPPP......ASAP Will give 10 points
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!