Part A

Mathematics

1 answer:

djyliett [7]3 years ago

5 0

Answer:

show the table

Step-by-step explanation:

You might be interested in

Define a new random variable by y = 2px. show that, as p l 0, the mgf of y converges to that of a chi squared random variable wi

Mandarinka [93]

The moment generating function (mgf) of y is given by

$M_y(t)=E(e^{ty})=E(e^{2pxt})=M_x(2pt)=p(1-e^{2pt}(1-p))^{-1}$

Since the momoent generating function of x is given by $M_x(t)=p(1-e^{t}(1-p))^{-1}$

When p tends to 0, we have

$\lim_{p \to 0} M_y(t)= \lim_{p \to 0} \frac{p}{1-e^{2pt}(1-p)} = \frac{0}{0}$

Applying L'Hopital's rule we have:

$\lim_{p \to 0} M_y(t)=\lim_{p \to 0} \frac{1}{e^{2pt}+2te^{2pt}+2pte^{2pt}} = \frac{1}{1+2t} , \ \ \ t\ \textless \ \frac{1}{2}$

This shows that y converges to a chi squared random variable with 2r degrees of freedom.

5 0

3 years ago

Factor this polynomial completely x2 - x - 20

mafiozo [28]

Answer:

(x+4)(x-5)

Step-by-step explanation:

We can look at it by thinking of two numbers, that add up to -1 and multiply to -20. We can first do this by looking at factors of -20, which are 1, -20, -1, 20, 2, -10, -2, 10, and so on. After looking through it, we can notice that -5 and 4 added equal -1, and when multiplied equal to -20, so they work. So, we factor to (x+4)(x-5)

3 0

1 year ago

Read 2 more answers

HELP PLZ!!!! A courtyard in the shape of a right triangle is set in the middle of three square office buildings, with one office

BigorU [14]

Its A (The area of Building C minus the area of Building B equals the area of Building A)

8 0

3 years ago

Read 2 more answers

What is the area of a rectangular prism

OleMash [197]

The area of a rectangular prism would be A=2(wl+hl+hw)

I hope this helped! Mark me Brainliest! :) -Raven❤️