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
MaRussiya [10]
3 years ago
7

The expected value of a random variable, x, is also called the mean of the distribution of that random variable. Why

Mathematics
1 answer:
egoroff_w [7]3 years ago
3 0

Answer:

See explanation below.

Step-by-step explanation:

If our random variable X is discrete the expected value is given by:

E(X) = \mu = \sum_{i=1}^n X_i P(X_i)

Where X_i represent the possible values for the random variable and P the respective probabilities, so then is like a  weighted average. The only difference is that the mean is defined as:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

On this mean the weight for each observation is \frac{1}{n} and for the expected value are different. But the formulas are equivalent.

If our random variable is continuous then the expected value is given by:

E(X) =\mu = \int_{a}^b f(x) dx

Where f(x) represent the density function for the random variable and a is the lower limit and b the upper limit where the random variable is defined.

And again is analogous to the mean since we are finding the area below the curve of a function.

We assume that is called mean because is a measure of central tendency in order to see where we have the first moment of a random variable. And since takes in count all the weigths for the possible values for the random variable makes sense called mean.

You might be interested in
43 POINTS IF U DO THIS! + ILL MARK BRAINLIEST!
gavmur [86]

Answer:

The second one

210 lbs

Step-by-step explanation:

The difference between 7 and 4 is 3

90/3 = 30

30 times 7 = 210

8 0
3 years ago
Read 2 more answers
What are the two binomial factors of this equation x² + 10x + 24?​
antoniya [11.8K]

Answer:

( x + 4 ) ( x + 6 )

Step-by-step explanation:

3 0
3 years ago
0.4 x 10 =....<br>1.25 x 10 = <br>97.465 x10 =​
chubhunter [2.5K]

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

3 0
3 years ago
What is the solution to the equation?<br> 5х - 18 = 10x - 3
Alex787 [66]

Step-by-step explanation:

if we add 18 to both side then it becomes 5x=10x+15 and if we divide by five, x=2x+3

8 0
3 years ago
Read 2 more answers
What is 33 %of what number is 1.45
Anna007 [38]
To find 33% of 1.45 we have to tranform 33% into decimal of traction
33% is 0.33 or \frac{33}{100} and multiply if by 1.45
so
0.33*1.45=0.4785
or
1.45*\frac{33}{100}= \frac{957}{2000}
5 0
3 years ago
Other questions:
  • Find the value of 5.8 ÷ 1.2. Round your answer to the nearest hundredth. A. 5.24 B. 4.83 C. 6.96 D. 4.6
    11·2 answers
  • I need help with finding the limit for problem #1. I've already solved 2-4 I just don't get the first one.
    6·1 answer
  • Assume that the radius rr of a sphere is expanding at a rate of 19 in./min.19 in./min. The volume of a sphere is V=43πr3V=43πr3.
    14·1 answer
  • Find the perimeter of a square whose diagonal is 8 feet. Round to the nearest tenth if needed.​
    9·1 answer
  • Evaluate. 48.44 ÷ 5.6 0.865 8.65 42.84 86.5
    10·2 answers
  • (-3)-(-19) I got -22 am I right?
    7·2 answers
  • HELP RIGHT AWAY IF YOU SEE
    6·1 answer
  • In Juan's coin bank there are nickels (n),
    5·1 answer
  • PLEASE HELP ME! IS THIS CORRECT?
    8·2 answers
  • Find the area of Bedroom #3 and the cost of hardwood floors in Bedroom #3 at $7.24 per sq ft. (round toSECOND FLOOR10.5 ftEHIF14
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!