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2 years ago

A local charity organization wants to raise at least $1,285 for a group in need. The

Mathematics

1 answer:

adoni [48]2 years ago

7 0

Answer:

srry, not enough info...

Step-by-step explanation:

If you could maybe show the graphs?

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Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n 2 if heads comes up

Artyom0805 [142]

Answer:

In the long run, ou expect to lose $4 per game

Step-by-step explanation:

Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.

Assuming X be the toss on which the first head appears.

then the geometric distribution of X is:

X $\sim$ geom(p = 1/2)

the probability function P can be computed as:

$P (X = n) = p(1-p)^{n-1}$

where

n = 1,2,3 ...

If I agree to pay you $n^2 if heads comes up first on the nth toss.

this implies that , you need to be paid $\sum \limits ^{n}_{i=1} n^2 P(X=n)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = E(X^2)$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =Var (X) + [E(X)]^2$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+(\dfrac{1}{p})^2$ ∵ X $\sim$ geom(p = 1/2)

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p}{p^2}+\dfrac{1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{1-p+1}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-p}{p^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) = \dfrac{2-\dfrac{1}{2}}{(\dfrac{1}{2})^2}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{4-1}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ \dfrac{3}{2} }{{\dfrac{1}{4}}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =\dfrac{ 1.5}{{0.25}}$

$\sum \limits ^{n}_{i=1} n^2 P(X=n) =6$

Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6

= $4

∴

In the long run, you expect to lose $4 per game

3 0

3 years ago

Can you prove that def=hgf? Justify your answer.

stellarik [79]

The image is needed so I can work this out

5 0

3 years ago

Cuál es la exprecion <br>equibalente a 4x² 20x + 25 es:

choli [55]

Answer:¿Es 4x² + 20x o 4x-20x?

Step-by-step explanation:

3 0

2 years ago

The area of a square is given by and the perimeter is given by , where s is the side length of the square. If the side length of

Thepotemich [5.8K]

The area of a square is always:

A=s^2 where s=side length, in this case:

A=4^2=16 in^2

The perimeter of a square is always:

P=4s, in this case:

P=4*4=16 in

6 0

3 years ago

Read 2 more answers

Let f(x)=4x+9. Write a function g whose graph is a reflection in the y-axis of the graph of f. g(x)= ?

frez [133]

Answer:

$g(x)=-4x+9$