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
slava [35]
3 years ago
10

Suppose the random variable X has the uniform distirbution on [a,b]. Find expressions involving a and b for the expected valkue,

variance, and standard deviation, of X. Check that your expressions when a=0 and b=10 addree with what you go in park c of part c of problem 5.
Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

Mean = 5

Variance = 8.3521

Standard Deviation = 2.89

Step-by-step explanation:

X has the uniform distribution on [a, b]

[a, b] = [a, 10]

Mean is solved using (a + b)/2

= \frac{a + b}{2}\\= \frac{0 + 10}{2}\\= \frac{10}{2}\\= 5

Standard Deviation = \sqrt{variance}

Standard Deviation =

=\frac{b - a}{\sqrt{12} } \\= \frac{10 - 0}{\sqrt{12} } \\= \frac{10}{\sqrt{12} } \\= \frac{10}{3.464 } \\= 2.886836028\\ = 2.89

Variance = (Standard Deviation)^{2}

Variance = 2.89^{2} = 8.3521

You might be interested in
The work that Yi did to find the greatest common factor of 42 and 63 is shown below. Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42 Fa
Alex

Answer: Yi did not list all the factors of 63

Step-by-step explanation:

Given That :

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

Factors of 63: 1, 7, 9, 63

The greatest common factor is 7

Find the error in the calculation above :

Not all factors of 63 were listed

3 0
4 years ago
Read 2 more answers
Graph this function:<br><br> y=x-15
ad-work [718]

Here is the graph? I hope this helps.

3 0
3 years ago
If A is nonsingular, then (AT )-1 =(A-1) T . (a) Verify this theorem for 2 × 2 matrices
kipiarov [429]

Answer:

Verified

Step-by-step explanation:

Let the 2x2 matrix A be in the form of:

\left[\begin{array}{cc}a&b\\c&d\end{array}\right]

Where det(A) = ad - bc # 0 so A is nonsingular:

Then the transposed version of A is

A^T = \left[\begin{array}{cc}a&c\\b&d\end{array}\right]

Then the inverted version of transposed A is

(A^T)^{-1} = \frac{1}{ad - cb} \left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]

The inverted version of A is:

A^{-1} = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-b\\-c&d\end{array}\right]

The transposed version of inverted A is:

(A^{-1})^T = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]

We can see that

(A^T)^{-1} = (A^{-1})^T

So this theorem is true for 2 x 2 matrices

3 0
4 years ago
I believe some of the brainly admins are abusing their power because they keep deleting my questions and I am not violating guid
VladimirAG [237]

I agree. Some people's questions keep getting deleted. Thanks you for bringing this up. Hopefully someone can contact the administrator.

6 0
3 years ago
Find the area of a l shape 10 cm 27 cm 24 cm and 9 cm
stealth61 [152]

Answer:

25cnm2

Step-by-step explanation:

3 0
4 years ago
Other questions:
  • Find the equation of a polynomial with only 2 equations that are tangent to the polynomial
    11·1 answer
  • Ou can buy 5 cans for green beans at the Village Market for $2.50. You can buy 10
    9·1 answer
  • A bus driver drives 547.25 miles on the first day of a trip. On the second day, he drives 327.875 miles. How many more miles did
    12·1 answer
  • What is 351.68 rounded to the nearest hundredth
    7·2 answers
  • Find the equation of the straight line that has slope m = -6 and passes through point (2, -7)
    14·1 answer
  • Round to nearest thousand: 731,181​
    15·1 answer
  • Can someone plz help me with this one problem
    12·2 answers
  • Con respecto al ejercicio anterior, ¿Cuál es la velocidad del ratón respecto a Tom?
    6·1 answer
  • A circular path runs around a circular plot. If the circumference of the plot and the path are 44m and 88m,respectively, find th
    7·1 answer
  • Find the area and permimeter
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!