7. Trading volume on the New York Stock Exchange is heaviest during the first half hour (early morning) and last half hour (late afternoon) of the trading day. The early morning trading volumes (millions of shares) for 13 days in January and February are shown here (Barron’s, January 23, 2006; February 13, 2006; and February 27, 2006). 214 163 265 194 180 202 198 212 201 174 171 211 211 The probability distribution of trading volume is approximately normal. a) Compute the mean and standard deviation to use as estimates of the population mean and standard deviation. b) What is the probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares? c) What is the probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares?

Answers

Answer 1

In this problem, first we find the sample mean and the standard deviation, and then, we use the normal distribution. Then, we get that:

a) The mean is of 199.69 and the standard deviation is of 25.02.

b) 0.2148 = 21.48% probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares.

c) 0.1131 = 11.31% probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

Item a:

The mean is the sum of all observations divided by the number of observations, thus:

[tex]\mu = \frac{214 + 163 + 265 + 194 + 180 + 202 + 198 + 212 + 201 + 174 + 171 + 211 + 211}{13} = 199.69[/tex]

The standard deviation is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of values. Thus:

[tex]\sigma = \sqrt{\frac{(214-199.69)^2 + (163-199.69)^2 + (265-199.69)^2 + (194-199.69)^2 + ... + (211-199.69)^2}{13}} = 25.02[/tex]

The mean is of 199.69 and the standard deviation is of 25.02.

Item b:

This probability is the p-value of Z when X = 180, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 199.69}{25.02}[/tex]

[tex]Z = -0.79[/tex]

[tex]Z = -0.79[/tex] has a p-value of 0.2148.

0.2148 = 21.48% probability that, on a randomly selected day, the early morning trading volume will be less than 180 million shares.

Item c:

This probability is 1 subtracted by the p-value of Z when X = 230, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{230 - 199.69}{25.02}[/tex]

[tex]Z = 1.21[/tex]

[tex]Z = 1.21[/tex] has a p-value of 0.8869.

1 - 0.8869 = 0.1131

0.1131 = 11.31% probability that, on a randomly selected day, the early morning trading volume will exceed 230 million shares.

A similar problem is given at https://brainly.com/question/24663213


Related Questions

Answer fast, please!!!

Answers

The distributive property states that any expression with three numbers A , B , and C , given in form A (B + C) then it is resolved as A × (B + C) = AB + AC

According to distributive property

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 6.7 \: (8x \: + \: 9)[/tex]

[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 53.6x \: + \: 60.3[/tex]

Hence , Option D is the correct answer.

Can someone help me and explain this to me step by step?

Answers

Answer: 11/9

Step-by-step explanation:

First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.

Answer:

11/9

Step-by-step explanation:

Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9

What is the rational roots of 4x^3+9x^2-x+10=0

Answers

9514 1404 393

Answer:

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

Step-by-step explanation:

The rational root theorem tells you possible rational roots of this equation would be ...

  ±(divisor of 10)/(divisor of 4)

The divisors of 10 are 1, 2, 5, 10. The divisors of 4 are 1, 2, 4. Then the possible rational roots are ...

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

_____

This particular cubic has one irrational real root near -2.689. It has no rational roots.

Which is the following is a possible solution for the inequality? x+7<10

Answers

Answer:

[tex]x + 7 < 10 \\ x < 10 - 7 \\ x < 3[/tex]

Second angle of a triangle is 10 degree larger than first angle. Third angle is 10
larger than second angle. Find the smallest angle of the triangle.

Answers

Let’s make a equation for each angle of triangle
Angle 1 = x
Angle 2 = x+10
Angle 3 = (x+10)+10

Angle 2 and 3 are both adding to the value of angle x so angle 1 is the smallest angle of the triangle.
Hope this helped :)

Why is 4 called a constant?

Answers

Answer:

because 4 is a fixed value. and it is not a variable.


I don’t know what to do

Answers

Answer:

B

Step-by-step explanation:

solve the equation 3/4x-5=x
give your answers correct to 2 decimal places

Answers

Answer:

x = - 20

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] x - 5 = x ( multiply through by 4 to clear the fraction )

3x - 20 = 4x ( subtract 3x from both sides )

- 20 = x

1/3 x 2/5 in simplest form

Answers

Answer:

2/15

Step-by-step explanation:

1/3 x 2/5

= ( 1 x 2 ) / ( 3 x 5 )

= 2/15

Answer:

2/15

Step-by-step explanation:

1/3*2/5

(1*2)/(3*5)

2/15

What is the value of k?

2k+9=7−3k


k=−2

k=−0.4

k = 2

k = 3.2

PLEASE HELP !!!!!

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]k = -0.4[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]2k+9=7-3k\\\rule{150}{0.5}\\\rightarrow 2k + 9 = 7-3k\\\\\rightarrow 2k + 3k + 9 = 7 - 3k + 3k\\\\\rightarrow 5k + 9 = 7\\\\\rightarrow5k + 9 - 9 = 7 - 9\\\\\rightarrow 5k = -2\\\\\rightarrow \frac{5k=-2}{5}\\\\\rightarrow \boxed{k = -\frac{2}{5} = -0.4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the unknown number in the equation 4 x 12 = 6 x n.

Answers

Answer:

n = 8

Step-by-step explanation:

hope this helps

Solve the inequality x/5-3<0

Answers

Answer:

x < 15

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] - 3 < 0 ( add 3 to both sides )

[tex]\frac{x}{5}[/tex] < 3 ( multiply both sides by 5 to clear the fraction )

x < 15

please help need this done by tomorrow thank you [PHOTO]​

Answers

Answer:

Step-by-step explanation:

The two angles must add to 180

(4x-2)+(3x+14)=180

7x+12=180

7x=168

x=24

X = 24 is your answer

What is 4a I will give brainiest to whoever’s is first

Answers

Answer:

I guess the equation would be 1s+1w+1j+4c= 6L

Step-by-step explanation:

the question is a bit confusing, but i hope this helped

Will give Brainliest! Performance Task Logistic Models. Graph Included

Use a graphing tool and the data provided in the table in Part one to write a logistic regression equation for the generation of wind in the state of Kansas.​

Answers

Answer:

sorry I don't know you can tell answer

Answer:

I had the project and this is what I submitted. Make sure you rewrite it in your own words to avoid plagiarism and I got 100% on the assignment. Enjoy :)

Step-by-step explanation:

Had the project and all these answers are correct

a rectangular prism has a length of 7.5m a height of 5m, and a volume of 225m³?
which steps are correct to find the width of prism? check all that apply.​

Answers

Answer:

I'm too lazy to use a calculator but I'll explain the steps to you

Step-by-step explanation:

so basically all you have to do is you know that

volume=length*with*height

we already have the length and height

so do 7.5*5 on your calculator for me

and then divide that answer by 225

and then you will get your answer

excuse me for being lazy but at least I gave you your answer it's 4 am here

The function f(x) is shown in this graph.

The function g(x) = -2x - 5.

Compare the slopes and y-intercepts.

A. The slopes are different but the y-intercepts are the same.

B. Both the slopes and the y-intercepts are different.

C. The slopes are the same but the yintercepts are different.

D. Both the slopes and the y-intercepts are the same.​

Answers

The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.

How to compare the slope and the y-intercept?

The function g(x) is given as:

g(x) = -2x - 5

A linear equation is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept.

So, the slope of the function g(x) is -2 and the y-intercept is -5

For the function f(x), the slope is calculated using:

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

Using the points on the graph, we have:

m =(3 - 1)/(1 - 0)

Evaluate

m = 2

The line of the function f(x) cross the y-axis at (0,3);

So, its y-intercept is 3

Hence, both functions have different slopes and different y-intercepts

Read more about linear functions at:

https://brainly.com/question/14323743

Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).

Answers

The equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

To find the tangent to the hyperbola [tex]\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }[/tex] at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).

So, [tex]\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }[/tex]

So, at (x₀, y₀)

[tex]\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }[/tex]

So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form

So, [tex]\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

So, the equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]

Learn more about equation of tangent line here:

https://brainly.com/question/12561220

Jon has 32 trading cards. He
puts the cards into piles of 8 cards. How many piles
does he make?

Answers

Answer:

4

Step-by-step explanation:

Take the number of cards and divide by the number of cards to determine the number of piles

32/8

4

There are 4 piles

Answer:

4 piles

Step-by-step explanation:

32 ÷ 8 = 4

8 cards in a pile. 8, 16, 24 ,32.

please answer the question above​
it's (Septagon)

Answers

Answer:

128.57

Step-by-step explanation:

each angle is equal and all of them will sum 900 degrees

Answer:

128.6... degrees

Step-by-step explanation:

Because regular shapes have all equal angles, we can do this:

900/7

regular septagons/heptagons have 7 sides

900/7 = 128.571429 or about 128.6

8 + (-7) - (7) = 8 + 7 + (-4)​

Answers

Answer:

The inequality is false and equals -14=3

Step-by-step explanation:

You want to start by cancelling equal terms on both sides of the equation which means getting rid of both 8's. You are left with (-7)-(7)=7+(-4).

From here you want to solve both sides meaning adding -7-7 because both terms are negative they will combine, and the other side which is -7+4. They are opposite terms so you will subtract. This leaves you with -14=3 which is false.

Determine the slope of the line 8x – 4y - 9 = 0.
О.
O2
03
04

Answers

Answer:

The slope in this equation is 2x, so answer is 2.

Step-by-step explanation:

8x-4y-9=0

-8x -8x

-4y-9 = -8x

+9 +9

-4y = -8x+9

Divide by 4 on both side to have y by itself and you get

y = 2x - 9/4

please help with the mathematical questions​

Answers

1. P = 18+24+17+7+9+9 = 84
A = (7x9) + (18x17) = 369

2. P = 16+22+11+7+9+11 = 76
A = (16x11)+(11x15) = 341

3. P = 10+14+29+24+14+19 = 110
A = (24x19) + (14x14) = 652

4. P= 10+17+15+7+9+8 = 66
A=(15x10)+(8x9) = 222

5. P = 13+16+19+10+26+32 = 116
A = (13x10)+(32x16) = 642

6. P = 32+31+19+20+12+12 = 126
A = (31x12)+(20x12)= 612

PLEASE HELP
How would Newton’s second law of motion impact the fitness routine of someone who is significantly overweight? Is there any type of fitness activity that a significantly overweight person could do where Newton’s second law of motion would not be a factor?

Answers

Answer: The rate of change of momentum of a body over time is directly proportional to the force applied and occurs in the same direction as the applied force.

We can write the law as:

Where F is a force, and P is the momentum.

Remember that the momentum is defined as the quantity of motion, such that:

P = M*V

Where M is the mass of the moving object and V is the velocity of the moving object.

Or we can write the second law as:

F = M*a

M = mass

a = acceleration

Happy To Help ;)

Step-by-step explanation:

Answer: The rate of change of momentum
of a body over time is directly proportional
to the force applied and occurs in the same
direction as the applied force.

Ha car drove 200 miles at a speed of 107.0534 miles per hour how long would it take?​

Answers

Answer:

1.86822

Step-by-step explanation:

take the 200 miles and devide the traveling speed

Change 185% to a mixed number and reduce, if possible.

Answers

Answer:

1 17/20

Step-by-step explanation:

Put 185 over 100. Then, Simplify. Divide 180 and 100 by 5. 180 ÷ 5 = 37 and 100 ÷ 5 = 20. Then, divide 37 by 20. Write down the the quotient as the whole number and the remainder as the numerator.

3. A random sample of 100 people was taken. There were sixty people who favored Brand A. We are interested in determining whether or not the proportion of the population in favor of Brand A is significantly more than 55%. At a 0.05 level of significance, it can be concluded that the portion of the population in favor of Brand A is ____. a. Significantly greater than 60% b. Not significantly greater than 55% c. Not significantly greater than 60% d. Significantly greater than 55% e. None of the above

Answers

Testing the hypothesis, it is found that the correct option is:

b. Not significantly greater than 55%.

At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:

[tex]H_0: p \leq 0.55[/tex]

At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:

[tex]H_1: p < 0.55[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are:

[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]

[tex]z = 1.01[/tex]

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.

Looking at the z-table, z = 1.01 has a p-value of 0.8438.

1 - 0.8438 = 0.1562.

The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.

A similar problem is given at https://brainly.com/question/24330815

A coin is flipped 80 times. It lands tails 47 times. What is the P (Heads)?
percentages pls

Answers

Answer:

%41.25

Step-by-step explanation:

80 - 47 = 33

33 divided by 80

convert to percentage

what is the answer to 8 + k ≤ -3

Answers

Answer:

less than or equal to -11

Step-by-step explanation:

subtract 8 to both sides

k< or equal to -11

Help please thank you

Answers

Mistake is both the numbers were added. After multiplication, it becomes 3.3 * 10^8
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