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
Orlov [11]
3 years ago
6

Calculate the expected value E(X) of the given random variable X. X is the higher number when two dice are rolled, or the common

number if doubles are rolled. (So, a roll of 4-3 would be given a value of 4 while a roll of 5-5 would be given a value of 5).
Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer:

4.4722

Step-by-step explanation:

The following table shows the 36 elements of the sample space of the experiment

\left[\begin{array}{cccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\1\;|&1&2&3&4&5&6\\2\;|&2&2&3&4&5&6\\3\;|&3&3&3&4&5&6\\4\;|&4&4&4&4&5&6\\5\;|&5&5&5&5&5&6\\6\;|&6&6&6&6&6&6\end{array}\right]

From this table we can compute the probabilities :

P(X = 1) = 1/36

P(X = 2) = 3/36

P(X = 3) = 5/36

P(X = 4) = 7/36

P(X = 5) = 9/36

P(X = 6) = 11/36

So the expected value equals

1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)+5P(X=5)+6P(X=6) =

= 1/36 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36 = 161/36 =  

4.4722

You might be interested in
120/210 *60 (give the answer in hour and minutes)
Katyanochek1 [597]
120/210 = 0.57
0.57 x 60 = 34.2

34 hours and 12 minutes
8 0
3 years ago
If y is 20, what is x?
vesna_86 [32]

When y=20 , x is −5.

8 0
3 years ago
Read 2 more answers
Nick walked 3/4 of a mile in 12 minutes.How long would it take him to walk three miles at this pace
Gekata [30.6K]

Answer:

48 minutes

Step-by-step explanation:

First do 3 divided by 3/4 and that gives you 4. Then multiply 4 by 12 and you get 48.

4 0
2 years ago
Read 2 more answers
1+4=5&lt;br /&gt;<br> 2+5=12&lt;br /&gt;<br> 3+6=21&lt;br /&gt;<br> 8+11=?
san4es73 [151]
Next time make it more easyer
3 0
3 years ago
Helpppppppoo!!!!!!!!!!!!!!!!!!!!!!!
Andru [333]
I want to say its 6 but I'm not sure. sorry
8 0
3 years ago
Other questions:
  • Simplify 81.56 + n - 2.55.<br><br> 79.10 - n<br> 79.01 + n<br> 81.56 - 2.55n
    9·1 answer
  • If the dimensions of an equilateral triangle are trebled, how is the area affected?
    14·1 answer
  • Misty has 36 pairs of shoes arranged on a number of shelves
    7·1 answer
  • Help me! :)
    13·2 answers
  • Which is the shorter path from A to B, round the 2 smaller semi-circles or around the large semi-circle
    7·1 answer
  • The Eatery Restaurant has 200 tables.on a recent evening there were reservations for 1/10 of the tables.how many tables were res
    11·1 answer
  • Find the value of ax 4 ; a = 2, x = 1. <br><br> Select one: a. 2 b. 4 c. 1 d. 8
    9·2 answers
  • What is the result of an increase by 2/3
    12·2 answers
  • A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic
    12·1 answer
  • Workout the equation of the line wich has a gradient of 3 and passes through the piont (-1, 3)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!