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3 years ago

What is ½ + ¼ equal to?

Mathematics

1 answer:

jenyasd209 [6]3 years ago

6 0

Answer:

3/4

Step-by-step explanation:

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Suppose that Y1, Y2,..., Yn denote a random sample of size n from a Poisson distribution with mean λ. Consider λˆ 1 = (Y1 + Y2)/

Burka [1]

Answer:

The answer is " $\bold{\frac{2}{n}}$ ".

Step-by-step explanation:

considering $Y_1, Y_2,........, Y_n$ signify a random Poisson distribution of the sample size of n which means is λ.

$E(Y_i)= \lambda \ \ \ \ \ and \ \ \ \ \ Var(Y_i)= \lambda$

Let assume that,

$\hat \lambda_i = \frac{Y_1+Y_2}{2}$

multiply the above value by Var on both sides:

$Var (\hat \lambda_1 )= Var(\frac{Y_1+Y_2}{2} )$

$=\frac{1}{4}(Var (Y_1)+Var (Y_2))\\\\=\frac{1}{4}(\lambda+\lambda)\\\\=\frac{1}{4}( 2\lambda)\\\\=\frac{\lambda}{2}\\$

now consider $\hat \lambda_2$ = $\bar Y$

$Var (\hat \lambda_2 )= Var(\bar Y )$

$=Var \{ \frac{\sum Y_i}{n}\}$

$=\frac{1}{n^2}\{\sum_{i}^{}Var(Y_i)\}\\\\=\frac{1}{n^2}\{ n \lambda \}\\\\=\frac{\lambda }{n}\\$

For calculating the efficiency divides the $\hat \lambda_1 \ \ \ and \ \ \ \hat \lambda_2$ value:

Formula:

$\bold{Efficiency = \frac{Var(\lambda_2)}{Var(\lambda_1)}}$

$=\frac{\frac{\lambda}{n}}{\frac{\lambda}{2}}\\\\= \frac{\lambda}{n} \times \frac {2} {\lambda}\\\\ \boxed{= \frac{2}{n}}$

8 0

3 years ago

Please help! Will mark brainiest! Write an equation to mark each graph. (absolute value equation.)

asambeis [7]

Answer:

$y=-|x+1|+1$

Step-by-step explanation:

The h and k are the points of the vertex. The h is the one inside the absolute value bars. The k is on the outside. The h has to be the opposite sign from what is on the graph. For example, if the number on the the graph is -1, the number in the <em>equation</em> will have to be a positive 1. The number on the outside stays the same. If the number on the the graph is +1, the number in the <em>equation</em> will also be a positive 1.

7 0

4 years ago

The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?

Serga [27]

Answer:

Step-by-step explanation:

72 = 2 * length + 2 * width

(72 -2*width)/2 = length

36-width = length

we need to know something else about the rectangle

6 0

3 years ago

I think of a number I add 16 subtract 30 and my answer Is 36 what was my number

sp2606 [1]

36+30=66 66-16=50 so your answer is 50

8 0

3 years ago

Read 2 more answers

Please help me with this one

Pavlova-9 [17]

Answer:

A: 112 cubic inches

Step-by-step explanation:

A = l*w*h/3 = (6*8*7)/3

A = 336/3

7 0

3 years ago