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
Maslowich
2 years ago
7

Is the equation true or false

Mathematics
1 answer:
Reil [10]2 years ago
5 0

Answer:

all are true

Step-by-step explanation:

if that blank spot is where youre supposed to put true or false, then yeah if you mulitply them they equal eachother for every equation

You might be interested in
Plzzzzz help me plzzzz le may give brainlist
gladu [14]

Answer:

b. Multiply 15 by 9, then divide by 2

Step-by-step explanation:

15 / 2/9 = 15 * 9/2

Answer: b. Multiply 15 by 9, then divide by 2

6 0
3 years ago
Let $$X_1, X_2, ...X_n$$ be uniformly distributed on the interval 0 to a. Recall that the maximum likelihood estimator of a is $
Solnce55 [7]

Answer:

a) \hat a = max(X_i)  

For this case the value for \hat a is always smaller than the value of a, assuming X_i \sim Unif[0,a] So then for this case it cannot be unbiased because an unbiased estimator satisfy this property:

E(a) - a= 0 and that's not our case.

b) E(\hat a) - a= \frac{na}{n+1} - a = \frac{na -an -a}{n+1}= \frac{-a}{n+1}

Since is a negative value we can conclude that underestimate the real value a.

\lim_{ n \to\infty} -\frac{1}{n+1}= 0

c) P(Y \leq y) = P(max(X_i) \leq y) = P(X_1 \leq y, X_2 \leq y, ..., X_n\leq y)

And assuming independence we have this:

P(Y \leq y) = P(X_1 \leq y) P(X_2 \leq y) .... P(X_n \leq y) = [P(X_1 \leq y)]^n = (\frac{y}{a})^n

f_Y (Y) = n (\frac{y}{a})^{n-1} * \frac{1}{a}= \frac{n}{a^n} y^{n-1} , y \in [0,a]

e) On this case we see that the estimator \hat a_1 is better than \hat a_2 and the reason why is because:

V(\hat a_1) > V(\hat a_2)

\frac{a^2}{3n}> \frac{a^2}{n(n+2)}

n(n+2) = n^2 + 2n > n +2n = 3n and that's satisfied for n>1.

Step-by-step explanation:

Part a

For this case we are assuming X_1, X_2 , ..., X_n \sim U(0,a)

And we are are ssuming the following estimator:

\hat a = max(X_i)  

For this case the value for \hat a is always smaller than the value of a, assuming X_i \sim Unif[0,a] So then for this case it cannot be unbiased because an unbiased estimator satisfy this property:

E(a) - a= 0 and that's not our case.

Part b

For this case we assume that the estimator is given by:

E(\hat a) = \frac{na}{n+1}

And using the definition of bias we have this:

E(\hat a) - a= \frac{na}{n+1} - a = \frac{na -an -a}{n+1}= \frac{-a}{n+1}

Since is a negative value we can conclude that underestimate the real value a.

And when we take the limit when n tend to infinity we got that the bias tend to 0.

\lim_{ n \to\infty} -\frac{1}{n+1}= 0

Part c

For this case we the followng random variable Y = max (X_i) and we can find the cumulative distribution function like this:

P(Y \leq y) = P(max(X_i) \leq y) = P(X_1 \leq y, X_2 \leq y, ..., X_n\leq y)

And assuming independence we have this:

P(Y \leq y) = P(X_1 \leq y) P(X_2 \leq y) .... P(X_n \leq y) = [P(X_1 \leq y)]^n = (\frac{y}{a})^n

Since all the random variables have the same distribution.  

Now we can find the density function derivating the distribution function like this:

f_Y (Y) = n (\frac{y}{a})^{n-1} * \frac{1}{a}= \frac{n}{a^n} y^{n-1} , y \in [0,a]

Now we can find the expected value for the random variable Y and we got this:

E(Y) = \int_{0}^a \frac{n}{a^n} y^n dy = \frac{n}{a^n} \frac{a^{n+1}}{n+1}= \frac{an}{n+1}

And the bias is given by:

E(Y)-a=\frac{an}{n+1} -a=\frac{an-an-a}{n+1}= -\frac{a}{n+1}

And again since the bias is not 0 we have a biased estimator.

Part e

For this case we have two estimators with the following variances:

V(\hat a_1) = \frac{a^2}{3n}

V(\hat a_2) = \frac{a^2}{n(n+2)}

On this case we see that the estimator \hat a_1 is better than \hat a_2 and the reason why is because:

V(\hat a_1) > V(\hat a_2)

\frac{a^2}{3n}> \frac{a^2}{n(n+2)}

n(n+2) = n^2 + 2n > n +2n = 3n and that's satisfied for n>1.

8 0
3 years ago
4x5:):):):):):):)free
Kruka [31]

Answer:

The answer is 20

Step-by-step explanation:

Can i have brainiest

8 0
3 years ago
Read 2 more answers
How many terms are in the expression shown below?
german

The answer would be B

a2 = 1

ab=2

8b and b2=3

6 0
3 years ago
Read 2 more answers
Natalie makes $2,000 per month. She spends $100 on credit card payments and $250 on an auto loan. What is her debt-to-income rat
umka2103 [35]

The answer would be 17.5%

3 0
3 years ago
Read 2 more answers
Other questions:
  • There are 16 types of flowers used to decorate for a party. Twelve of the flowers types last an average of 4 days before they wi
    10·1 answer
  • I have a set of numbers 125, 200, 150, 75, 275, & 300 what is the most reasonable interval answer choices 5,10,25 & 100
    5·1 answer
  • It is legal to write a check when your account does not have funds to cover it. True False
    10·2 answers
  • What did they do incorrectly <br>40 + 70 + ? = 360<br> 110 + ? = 360<br> -110 -110 <br>? = 250
    14·1 answer
  • During the first half of a game you scored eight points in the second half you may only three point baskets you finish the game
    7·1 answer
  • Need Help Please!!<br>Enter an inequality that represents the graph in the box. 
    8·2 answers
  • Plot and connect the points A (-4, -5), B (-2, -3), C (4, -3), D (6, -2), E (6, 6), F (-1, 6), G (-4, 2), and find the length of
    6·1 answer
  • Help me with this please please pleasee
    11·2 answers
  • The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
    13·2 answers
  • P l e a s e h e l p~!!!!!!~!!~~~!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!