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]
2 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]2 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
A rectangle measures 3 3/ 4 inches by 2 1/ 2 inches. What is its area?<br> WILL MARK BRAINLIEST
ohaa [14]

Answer:

A = 9.375 inches²

Step-by-step explanation:

A = L x W

A = 3.75 x 2.5

A = 9.375 inches²

6 0
3 years ago
Walt is mixing fruit punch for a party. He combines 1 gallon 2 quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pine
Naya [18.7K]
The answer is C. 6 gal.  2 qt.  1pt
there are already three gallons so
1 gal + 1 gal + 1 gal = 3 gal
1 gal = 4q
2 q + 3q + 3q = 8q = 2 gal
1 gal = 8p
3p + 7p + 3p = 13p - 8p = 5p
2p = 1q
5p - 4p = 1p
Hope it helps
6 0
3 years ago
Please help!! I don’t know how to solve this. Which one is the digit of the units in 3^81:
egoroff_w [7]

<u>Solution:</u>

  • 3⁸¹ = 3⁹ ⁺ ⁹ ⁺ ⁹ ⁺ ⁹ ⁺ ⁹ ⁺ ⁹ ⁺ ⁹ ⁺ ⁹ ⁺ ⁹ ⁺ ⁹
  • 3⁸¹ = 3⁹ x 3⁹ x 3⁹ x 3⁹ x 3⁹ x 3⁹ x 3⁹ x 3⁹ x 3⁹
  • 3⁹ = 19683 <u>[Using Calculator]</u>

This means that the Unit digit of 19683 is 3. For each number, multiply the unit's digit of 3⁹.

  • 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
  • => 19683
  • => <u>Unit digit of 3⁸¹ = 3</u>

Option A is correct.

3 0
2 years ago
Please help i’ll give brainliest
aliya0001 [1]

eeeeeeeeee

eeeeeeeeeeeeeeeeeeeeee

eeee

e

e

ee

e

3 0
3 years ago
10. The LCM of 9, 12 and n is 252. If n is odd, find all the possible values of n.​
kirza4 [7]

Answer:

I am pretty sure all you need are the factors of 252 and list all of them

4 0
2 years ago
Other questions:
  • When in europe, you are told that you are eating a steak weighing 140 grams. this is equivalent to how many ounces?
    10·1 answer
  • Is -57.5 a interger
    5·1 answer
  • Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you per
    15·1 answer
  • Order the numbers from greatest to least.<br><br> 2.34, 234, 94
    12·1 answer
  • Find the surface area of the square pyramid
    9·1 answer
  • An elevator is on the twelfth floor it goes down 11 floors and than up 5 floors what floor is the elevator on now
    13·2 answers
  • Factor -2x^3+8x^2-8x​
    5·1 answer
  • Helpppp<br> 3x + 10<br> 3x + 2<br> x = [?]
    9·1 answer
  • . Suppose lines
    13·1 answer
  • A two-year prepaid membership at Gym A costs $250 for the first year plus $19 per month for the second year. A two-year prepaid
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!