Suppose that – in any given time period – a certain stock is equally likely to go up 1 unit or down 1 unit, and that the outcomes of different periods are independent. Let X be the amount the stock goes up (either 1 or −1) in the first period, and let Y be the cumulative amount it goes up in the first three periods. Find the correlation between X and Y.

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information:

Let X represent the amount of the stock that goes up in the first period; &

Let Y denote the cumulative amount that goes up in the first three periods.

Then,

[tex]X= X_1 + X_2 \\ \\ \\EX= EX_1 +EX_2\\ \\\\Now ; EX = 0 \\ \\ EX = \dfrac{1}{2}\times 1 + \dfrac{1}{2}\times -1 \\ \\ EX = \dfrac{1}{2}-\dfrac{1}{2} \\ \\ EX = 0[/tex]

[tex]Cov(x,y) = Var(X_1) +Var(X_2) \\ \\ =\dfrac{1}{2}(1+1) + \dfrac{1}{2}(1+1) \\ \\ = \dfrac{1}{2}(2)+ \dfrac{1}{2}(2) \\ \\ = 1+1 \\ \\ =2[/tex]

[tex]Var (X) = Var (X_1+X_2)\\ \\ = 2 \ Var(X_1) \\ \\ = 2 \times (1) \\ \\ = 2[/tex]

[tex]Var (Y) = Var (X_1 +X_2+X_3) \\ \\ = 3 \times Var(X_1) = \\ \\ = 3 \times 1\\ \\ = 3[/tex]

[tex]Corr(x,y) = \dfrac{2}{\sqrt{6}} \\ \\ = \dfrac{2}{\sqrt{2\times 3}} \\ \\= \sqrt{\dfrac{2}{3}}[/tex]


Related Questions

11 is 82% of what?
A)902
B)9
C)13.4
D)14.6

Answers

Answer:

13.4

Step-by-step explanation:

82% of 13.41 is 11. 100% of 13.41 is 13.41, therefore 82 percent of 13.41 equals 11.

DONT. COPY

CROWN PLS

Answer:

c

Step-by-step explanation:

4x - 5 = 2 - x

solve for x​

Answers

x would equal, 7/5, or in decimal form, 1.4, or as a mixed number, 1 2/5

Answer:

Step-by-step explanation:

4x-5=2-x

4x=7-x

5x=7

X=1.4

Lin can run 12 laps around the track in 15 minutes. If she is running at the same rate for 20 miles, how long will it take her?

Please help

Answers

Answer:

Assuming 4 laps=1 mile, a standard track, then for every 5 minutes she runs a mile. 20 miles time 5 minutes each equals 100 minutes, or 1 hour and 40 minutes

The sum of two consecutive integers is 81. Determine the lesser of the two numbers.

Answers

Given that,

the two numbers are consecutive

The two numbers are

x and x + 1

Sum of the numbers = 81

x + (x + 1) = 81

x + x + 1 = 81

2x = 81 - 1

2x = 80

x = 80/2

x = 40

Therefore, the two numbers are x = 40 and x + 1 = 41

4 5/9 + 2 5/6 + 1 2/3


ANSWER ASAPPPPP

Answers

Answer:

9.05

Step-by-step explanation:

Answer:

9 1/18

Step-by-step explanation:

1. 4 5/9 + 2 5/6 + 1 2/3

2. (4+2+1) + (5/9+5/6+2/3)

3. 7+37/18

4. 7+2+1/18

5. 7+2+1/18

6. 9+  1/18

Answer = 9 1/18

A small bag of chips weighs 48 grams. A large bag of chips weighs three times as much as the small bag. How many grams will 7 large bags of chips weigh?

Answers

Answer:

the answer is Bg=3(48g)=144g for each large bag.

Step-by-step explanation:

just copy and paste the question that you have into a google search bar and the answer will pop up...

A raido station uses 1/6 of its time for news. In a 12 hour day, how many hours are used for news​

Answers

Answer:

2 hours

Step-by-step explanation:

12 divided by 6 is 2

Answer:

Step-by-step explanation:

12/ 1/6= 2 hours


A cyclist rode 3.75 miles in 0.5 hours. How fast was she going in miles per hour?

1.875 miles per hour
3.75 miles per hour
7.5 miles per hour
14 miles per hour

Answers

Answer:

7.5 miles per hour

Step-by-step explanation:

3.75/.5 = 7.5 miles per hour


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer: -4

Step-by-step explanation:

Answer:

- 1/4

Step-by-step explanation:

The formula to find slope from two points is (x₂ - x₁) / (y₂ - y₁).

Substituting the points in (2, 4 = x₁, y₁ and 5, -8 = x₂, y₂) we get (5 - 2) / (-8 - 4).

= 3 / -12

= - 1/4

(Tip: when assigning the numbers to the variables, make sure x₁, y₁ are always from the same pair.)

A biker cycles 9 miles in 2/3 of an hour. The distance here varies with time. What is the constant of variation ? (It is the hikers rate .)

Answers

Answer:

27/2

Step-by-step explanation:

Answer:

27/2

Step-by-step explanation:

There are 3 girls and 4 boys taking music lessons. Write the ratio that compares the number of boys taking music lessons to the total number of students taking music lessons.

Answers

Answer:

4:7

Step-by-step explanation:

Answer:

4 boys and 7 students in total

Step-by-step explanation:

so 4:7

find value of x, y and z plsssss slove it​

Answers

Answer:

  x = 65°

  y = 50°

  z = 65°

Step-by-step explanation:

130° + y = 180°

y = 50°

115° + z = 180°

z = 65°

x + y + z = 180°

x + 50° + 65° = 180°

x + 115° = 180°

x = 65°

what is -5y+32=-18

10 points :)

Answers

Answer:

y=10

Step-by-step explanation:

-5y+32=-18

-5y+50=0

-5y=-50

-y=-10

y=10

is it always true that the y-values of a quadratic function have opposite signs on either side of a zero of the function? Explain Please

Answers

It is not always true because some of them do have a function

this is worth 20 points so please help me



A jewelry store marks its merchandise up by 80%. If the wholesale price of a bracelet is $55, what will the store charge for the retail price?

O A) $63

OB) $75

OC) $99

OD) $110​

Answers

Answer: B.

Step-by-step explanation:

C. 80% of 55 is 44. Add that 55 and it will be 99.

There are 630 calories in seven ounces of a certain ice cream. How many calories are
there in two pounds?
1 pound = 16 ounces
Before
you try that problem, answer the question below.
How many ounces will you need to find the number of
calories for?
What’s the answer?

Answers

Answer:

Hello mate here’s the answer 32 ounces

Step-by-step explanation:

2 pounds = 2x1(1 pound)

=2x(16 ounces)

=32 ounces

What shape is this help

Answers

Answer:

Cylinder

Step-by-step explanation:

In mrs.smiths class every time you turn in 10 assignments you earn 1 homework pass.Write 3 equivalent ratios if turned in assignments.

Thanks!

Answers

Answer:

Step-by-step explanation:

For every 10 assignments you get 1 homework pass. So you would multiply them by two and up more.

So here's some of your answers:

10:1

20:2

30:3

40:4

50:5

60:6

70:7

80:8

90:9

100:10

You would just continue this pattern.

if chsd had 5 apples and 19 oranges and he sold 8 how much left​

Answers

1.. YASSSS CSHD XD

2. sold 8 of which ill just assume equal?

so 1 apple and 15 orange would be left?

Kinda a weird question

Answer:

Step-by-step explanation:

he has 5 apples and 19 oranges so in total he has how many.

5+19=24 he sold 8 so you subtract that from your total 24-8=16 he has 16 left

A bag contains 40 red and green marbles. The ratio of red marbles to
green marbles is 3 to 1. How many green marbles are in the bag?
A. 10
B. 15
C. 20
D. 30

Answers

Answer:

39/40

Step-by-step explanation:

Since 39 out of 40 marbles are green, the probability of randomly choosing green is 39/40.

However, the probability becomes 100% when you look into the bag and choose a green marble. (Unless you are blind or unable to distinguish blue from green, in which case the probability remains 39/40.)

The answer is A or 10

AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHHHHHHHH

What is $4/$0.56 ?

Answers

Like0.123444783673
Or something

ILL MARK U BRAINLIEST!!

Answers

Answer:

The answers are A, C, D, and E.

Step-by-step explanation:

I just multiplied 45 by how many hours and if the answer was the miles it was correct.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

The correct answer would be choice A

Please like this post

Difficult for me but should be easy for some big brain out there

Answers

Answer:

I would say the last one

Step-by-step explanation:

Answer:

42/45

Step-by-step explanation:

Salma received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.33 per pound. After buying the coffee, she had $56.68 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

4 Pounds.

Step-by-step explanation:

90 - 56.68 = 33.32

33.32 / 8.33 = 4

?????????????????????

Answers

Answer:

The equation is c = 250m

Cost of a 14-month is 3,500

Step-by-step explanation:

Each month, the value increase by 250

c = 250m

c = 250 x 14

c = 3,500

Answer:

The equation is (x=250)

A 14 month membership is 3500

Step-by-step explanation:

The graph of six different polar equations are shown.
Use the drop-down boxes to match each equation with its polar graph.

Answers

To match each equation with its polar graph would result to the given answers:

The equation [tex]r=-2[/tex] represents graph CThe equation [tex]r=3[/tex] represents graph BThe third equation represents graph DThe fourth equation represents graph E

What is polar equation?

Polar equation is any equation that describes a relation r r r[tex]r[/tex] and thetaθ. These equations are made up of coordinates.

Read more about polar equations here:

https://brainly.com/question/9363127

Given the function, f(x)= |x-1| -2, choose the correct transformation

Answers

Answer:

c

Step-by-step explanation:

I attached a desmos graph so you could get a better understanding but it's right 1, down 2

(-19/3) divided by (5/3) = 19/5

So, I found the answer to this problem in my answer key, but I’m not sure HOW this answer came to be.

Please explain ASAP, so that I can do these problems without my answer key from now on!!

Answers

Answer:

Keep Change Flip

Step-by-step explanation:

-19/3 divide by 5/3

keep -19/3

change the sign to multiplication

flipe 5/3 to 3/5

-19/3 times 3/5

Find the slope of the line through
(-11,8),(-11, -17)

Answers

Answer:

Undefined or Infinity

Step-by-step explanation:

(x1,y1)=(-11,8)

(x2,y2)=(-11,-17)

Slope = (y2-y1)/(x2-x1)

= (-17-8)/(-11-(-11))

= -25/0

= Undefined

f(t)=100−4.9t2 help me

Answers

-19.6 m/s
Do you need the math as well?
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