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2 years ago

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Which is bigger 6.5l or 645ml

1 answer:

snow_lady [41]2 years ago

3 0

Answer:

pretty sure its 645ml

Step-by-step explanation:

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Let X1, X2, ... , Xn be a random sample from N(μ, σ2), where the mean θ = μ is such that −[infinity] < θ < [infinity] and

Sliva [168]

Answer:

$l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)$

And then the maximum occurs when $l'(\theta) = 0$ , and that is only satisfied if and only if:

$\hat \theta = \bar X$

Step-by-step explanation:

For this case we have a random sample $X_1 ,X_2,...,X_n$ where $X_i \sim N(\mu=\theta, \sigma)$ where $\sigma$ is fixed. And we want to show that the maximum likehood estimator for $\theta = \bar X$ .

The first step is obtain the probability distribution function for the random variable X. For this case each $X_i , i=1,...n$ have the following density function:

$f(x_i | \theta,\sigma^2) = \frac{1}{\sqrt{2\pi}\sigma} exp^{-\frac{(x-\theta)^2}{2\sigma^2}} , -\infty \leq x \leq \infty$

The likehood function is given by:

$L(\theta) = \prod_{i=1}^n f(x_i)$

Assuming independence between the random sample, and replacing the density function we have this:

$L(\theta) = (\frac{1}{\sqrt{2\pi \sigma^2}})^n exp (-\frac{1}{2\sigma^2} \sum_{i=1}^n (X_i-\theta)^2)$

Taking the natural log on btoh sides we got:

$l(\theta) = -\frac{n}{2} ln(\sqrt{2\pi\sigma^2}) - \frac{1}{2\sigma^2} \sum_{i=1}^n (X_i -\theta)^2$

Now if we take the derivate respect $\theta$ we will see this:

$l'(\theta) = \frac{1}{\sigma^2} \sum_{i=1}^n (X_i -\theta)$

And then the maximum occurs when $l'(\theta) = 0$ , and that is only satisfied if and only if:

$\hat \theta = \bar X$

6 0

3 years ago

What is the area of this triangle?<br>Enter your answer in the box<br><br>Units:

JulsSmile [24]

The answer is 12 units

3 0

3 years ago

What is -10=xy+z for x?

aksik [14]

(-10= xy + z ) (-z)
(-10-z = xy ) (1/y)
-10/y - z/y = x
x = -(10+z)/y

6 0

3 years ago

Given T(x,y) = ( x + h, y + k) and the point P(5, 2), what is T (P) = (x + 7, y - 3)? Answer should be a coordinate point.

timofeeve [1]

Answer:

<h3>(12, -1)</h3>

Step-by-step explanation:

Given T(x,y) = ( x + h, y + k) and the point P(5, 2), we are to find T (P) = (x + 7, y - 3)

It can be seen from the given data that T (P) = T (x, y), hence P = (x, y)

Given the coordinate P(5, 2), comparing with P(x, y), x =5 and y =2

Substituting x = 5 and y = 2 into the coordinates T (P) = (x + 7, y - 3)

T (P) = (5+7, 2-3)

T (P) = (12, -1)

Hence the coordinate T(P) = (12, -1)

5 0

3 years ago

23 tens is the same as

zhuklara [117]

46 fives. I hope I helped.

5 0

3 years ago

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