Carson's tablet has 2,000 videos. The play time for the videos is skewed to the right, with a mean of 135 seconds and a standard deviation of 25 seconds.

Part A: Can you accurately calculate the probability that the mean play time is more than 142 seconds for an SRS of 10 videos? Explain. (4 points)

Part B: If you take a random sample of 50 videos instead of 10, explain how the Central Limit Theorem allows you to find the probability that the mean play time is more than 142 seconds. Calculate this probability and show your work. (6 points)

Answers

Answer 1

Answer:

SEE BELOW

Step-by-step explanation:

A: Yes, it is 18.80%. Sample Mean= 135, Sample Standard deviation= 25/sq rt of 10 = 7.906, normalcdf(142, 999999, 135, 7.906) = .18796 × 100 = 18.796 = 18.80%

B: If we increase the sample size to 50, then, due to the Central Limit Therme, there should be less variation within the data (it should point to a more clear center). Sample Mean= 135, Sample Standard deviation= 25/sq rt of 50 = 3.535, normalcdf(142, 999999, 135, 3.535) = .02385 × 100 = 2.385 = 2.39%

Answer 2

The probability that the mean playtime is more than 142 seconds for an SRS of 10 videos is not accurately calculated and the probability that the mean playtime is more than 142 seconds is 0.0244.

Given :

The total number of videos on Carson's tablet is 2000.The mean is 135 seconds.The standard deviation is 25 seconds.

A) The probability that the mean playtime is more than 142 seconds for an SRS of 10 videos is not accurately calculated because the sample size is too small due to which the central limit theorem cannot be applied.

B) According to the given data, the sample size is 50.

[tex]P(\bar{X}>142)=P\left(\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n} }}>\dfrac{142-\mu}{\dfrac{\sigma}{\sqrt{n} }}\right)[/tex]

[tex]P(\bar{X}>142)=P\left(Z>\dfrac{142-135}{\dfrac{25}{\sqrt{50} }}\right)[/tex]

[tex]P(\bar{X}>142)=P\left(Z>1.9798\right)[/tex]

Using the z table the above expression becomes:

[tex]P(\bar{X}>142)=0.0244[/tex]

For more information, refer to the link given below:

https://brainly.com/question/898534


Related Questions

Evaluate the expression of the given value of the variable(s) -2x^3 -x^2 + 5x+2; x=-3

Answers

Huh? What grade is this?

30 POINTS!! Help You buy three smoothies for $4.99 each and pay the cashier $20.97. How
much change will you get back?*
Your answer

Answers

Answer:

5 dollars , subtract

Step-by-step explanation:

What is the volume of the figure Enter the answer in the box

Answers

Answer: 1360

Step-by-step explanation: I saw it on brainless

Rewrite using the distributive property: 24 + 16 .

Answers

8(2+3) hopefully this is right!!

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Change this radical to an algebraic expression with fractional exponents.

Answers

Answer:

[tex] a^{\frac{1}{3} [/tex]

Step-by-step explanation:

Given, [tex] \sqrt[3]{a} [/tex].

To change this radical, we would apply the rule of fractional exponents. (i.e. [tex] a^{\frac{x}{y}} = \sqrt[y]{a^x} [/tex]

Thus:

[tex] \sqrt[3]{a} = a^{\frac{1}{3} [/tex]

Answer: Answer is a 1/3

Step-by-step explanation:

Alex has a video game membership that costs $36 per month. Which table shows the sum of the amounts that Alex will pay for his video game membership over the next 4 months?

Answers

Answer:

$144  at the end of 4 months

Step-by-step explanation:

$36 x 4 =144

Answer:

It will be $144

Step-by-step explanation:

because you do 36 times 4 and u get $144

FILL IN THE BLANK:
When you multiply or divide both sides of the inequality by a negative number, _______ the inequality symbol.

Answers

Answer:

reverse

Step-by-step explanation:

When you multiply or divide on one side of an inequaltiy, you have to mirror it on the other side and you have to reverse the inequality sign.

Rachel works at a store that sells clothing accessories. The supply function for pairs of socks is P = Q-11, where P is the price and Q is the
quantity of pairs of socks. If Rachel sells the pairs of socks for $10 a piece, how many pairs of socks will the store make?

A) 4 pairs
B) 21 pairs
C) 11 pairs
D) 5 pairs

Answers

Answer:

c

Step-by-step explanation:

Amar rakes leaves for his neighbors to eam money. He eamed 64 dollars after
8 hours of work.

Answers

Answer:

Good for Amar but what’s the question

Step-by-step explanation:

1). ppllllsssss awwnnsseeer thisss

Answers

C but give the guy above me brainiest

Trapezoids A B C D and E F G H are shown on the graph.​

Answers

Answer:

Reflection across the x axis, and rotation 180 degrees clockwise about origin.

Top guy is correct (mark him brainiest)

The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of
π

Answers

Answer:

132.25π

Step-by-step explanation:

1. the formula of the required area is: A=π*r², where 'r' is radius of the circle;

2. the formula of the the circumference of a circle is: L=2πr, where 'r' is radius of the circle. If the circumference is 23π, then 23π=2πr and r=23/2.

3. if r=23/2, then the required area is:

F=π*(23/2)²=132.25π

Answer:

132.25π m

Step-by-step explanation:

23π/2 = 11.5π

π11.5^2 = 132.25 π

list the first 5 multiples of 3

Answers

just mutplie 3x1= 3 , and u keep going

help plz 5 stars rates 10 points

Answers

Answer:

A!!!!

Step-by-step explanation:

15cm
Calculate the perimeter of the figure below
5cm

2cm
1.5cm
3cm
4cm
3cm​

Answers

The best choice would be the option 3cm

If a tree in a 1 in. : 2 ft. scale drawing is 10 inches tall, how tall is the actual tree?

Answers

Answer:

20 feet tall

Step-by-step explanation:

Since it is 1 in: 2ft and the drawing is 10 in, you multiply 10 by 2 and get 20 feet.

(hope this helps!)

Simplify 11 - [ 4 + 2 • 3 ]

Answers

Answer:

Step-by-step explanation:

remember  PEMDAS

11-(4+6)=11-10=1

While shopping for clothes, Curtis spent $44 less than 3 times what Jaclyn spent. Curtis
spent $43. Write and solve an equation to find how much Jaclyn spent. Let x represent how much
Jaclyn spent.

Answers

Just multiply 44 times 3 the you should get your answer

HELP I M IN BIG TROUBLE PLZ HELP

SURFACE AREA HOW TO DO SURFACE AREA

Answers

Answer:

You can watch khan academy and it will show you also

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

how long is the wire needed to put up a fence around a rectangular lot 25m long and 1500cm wide in meters

Answers

Answer:

750 meter

Step-by-step explanation:

1500 cm = 15 m

25 m × 15 m = 375 × 2 = 750

length × width = ### × 2 = perimeter

It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?

Answers

Answer:

7 pi square 9.8

Step-by-step explanation:

Simplify (10j+5k)+6j. What 2 properties did you use to to simplify the expression?

Answers

Answer:

16j+5k

Associative property

Communitive Property (I think)

Step-by-step explanation:

(10j+5k)+6j =

(10j+6j)+5k =

16j+5k

Pls help help Im crying and i need help please im nevous please help me

Answers

Answer:

Look in step by step

Step-by-step explanation:

The way to read coordinates is to know these steps.

(#,#)

the first number is the x number which on the graph is the horizontal line and the second number is the y number which on the graph is vertical.

Theres also negatives which is the same thing but its on the lower side of the graph.

So now for example you take -4,-9.

To make it easy move the dot to the center or the (0,0) cords. Then follow the numbers. When you start on the zero cord you will look at the numbers, it says -4 so drag the dot 4 units to the left where the line says -4. Then drag it down 9 units so its on the cords. Hope this helps!!

Answer:

Ok so for (0,8 1/2), drag the dot from the middle, up to 8 but then move up a little bit more so it is between the 8 and 9. Next, for (-4, -9) drag one of the other dots to the -4 on the horizontal line, but then move it down to the -9 on the vertical line. And finally for (-6,5), you should put the last dot on the -6 on the horizontal line, but move it up five spaces until it is at the 5 on the vertical line.

I hope I was able to help you, if you still do not understand I will try to explain a little bit more.

Sarah needs 10 feet of fabric for a project she is working on, but the store only sells the fabric in meters

Answers

Answer:

Sarah need to buy 3.048 meters of fabric

Step-by-step explanation:

there are around 0.3 meters in a foot. And there are 3.048 meters in 10 feet. (I dont know the math behind it i just searched it up, if you search “how many meters are in 10 feet” it gives you a converter and you can convert whatever you want)

There are 3 feet in 1 yard. Find the number of feet in 15 yards

Answers

Answer:

45 feet

Step-by-step explanation:

15 times 3 =45

Answer: 45 ‘

Step-by-step explanation:

1) You have an ash tree and a magnolia tree in your yard. You chart the vertical growth of each tree.
a) Over two years, the ash tree grows 51 inches. What is the unit rate? Use a ratio table to find the vertical growth over five years. This is a required question
b) Over five years, the magnolia tree grows 80 inches. Construct a double number line that represents the situation. How much does the tree grow each year? * This is a required question
c) Which tree has the faster growth rate? This is a required question
d) What is the growth rate of each tree in millimeters per day? *

Answers

Answer:8

Step-by-step explanation answe is 8beuase the tree

a)The unit rate of ash tree is equal to 25.5 inches per year .(Table attached)   b) The magnolia tree grows by 16 inches every year.(Table attached)

c) Ash tree has the faster growth rate.

d) growth rate of ash tree = 1.77 mm

  growth rate of magnolia tree =1.113 mm

What is a double number line ?

Double number line diagrams are best used when the quantities have different units.

Given here, the ash tree grows 51 inches over two years therefore unit rate of growth is 51/2 = 25.5 inches/year. Similarly, the magnolia tree grows 80 inches over five years thus the tree grows by 16 inches every year. Finally converting the growth rate of each tree in mm per day we get

growth rate of ash tree = 25.5 × 25.4 / 365

                                       = 1.77 mm

 growth rate of magnolia tree = 16 × 25.4 / 365

                                                  =1.113 mm

Hence, clearly ash tree grows faster than the magnolia tree and refer to the attachments for the table and double number line.

Learn more about double number line here:

https://brainly.com/question/13553589

#SPJ2      

Simplify the expression:
4va^6b^4c^8
a.a^3/2 bc^2
C.a^24 b^16 c^32
b.a^3 b^2 c^9
d.a^2/3/bc^2

Answers

Answer is a if I am not mistaken

Answer:

answer a

Step-by-step explanation:

In the sport​ competition, France won more gold medals than​ Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 48​, find the number of gold medals won by each.

Answers

Answer:

Korea = 15

Italy = 16

France = 17

Step-by-step explanation:

Let :

Korea = x

Italy = x + 1

France = x + 2

(since the values are consecutive)

x + x + 1 + x + 2 = 48

3x + 3 = 48

3x = 48 - 3

3x = 45

x = 45 / 3

x = 15

Korea = x = 15

Italy = x + 1 = 16

France = x + 2 = 17

Good afternoon guys and god bless!! does anyone know the answer to this?

Answers

Answer:

The answer tot he question provided is vertical (undefined)

what will be the Coordinates of point T after a 180 rotation about the origin​

Answers

Answer:

(6, -4)

Step-by-step explanation:

Other Questions
Calculate the force of gravity between two objects of masses 1300 kg and 7800 kg, which are 0.23 m apart. 2. Jennifer is getting ready for school on a cold day in February. She wants to make sure herhair is completely dry before she leaves her house. She plugs her hair dryer into the walloutlet and turns it on. Which of the following describes one of the steps involved in usingenergy to dry Jennifer's hair? (SC.5.P. 10.4) I need help ASAP. Is it A B C or D??? Help me please help help mee Im going to get my head bashed and Im going to get whooped please help!! Anoche yo ____(comenzar) la tarea a las ocho.11 What two cities are the starting and ending points of the National Road? Can yall help me with this i forgot how to do this! 2/3x-7=11Pls help The lights were off, and no one moved. It was spookily silent. Suddenly, a woman dressed in bright red tapped her way onto the stage. Her footwork was incredible - she was dancing Flamenco, a fast-moving Spanish dance. She was soon joined by many other similarly dressed dancers. You could hardly see their feet as they swiftly moved around the stage. What purpose does this author have? A. To persuade B. To explain something C. To express something D. To entertain * HELP QUICK I WILL MARK BRANLIEST* If the circumference of a circle is 10x inches, what is the area, in square inches, ofthe circle?1) 10 sq. in2) 254 sq. in.3) 50. sq. in.4) 100 sq. in. HELP ASAPWhich describes the proper order of the transportation revolutions progress in the early 19th century as technology kept improving?from roads to railroads to canalsfrom railroads to roads to canalsfrom roads to canals to railroadsfrom canals to railroads to roads I need help! Please show your work How many haploid cells get created at the end of Meiosis?A: 8B: 2C: 4D: 16 Kyle is 30 years old, weighs 125 pounds, and is 72 inches tall. Given Kyle's BMI, which statement is most likely true of Kyle's health risks?A. high risk of diabetes and kidney diseaseB. possible risk of malnutritionC. no risk based on weight Which careers use web browsersTeacherComputer programmerMechanicCosmetologistPark ranger How many grams do 6.71025 atoms of carbon weigh?A)224B)128C)1336D)4325 Help me PLEASEE this is due TODAY I have to write a 4 paragraph (Intro,Body paragraph 1, Body Paragraph 2, Conclusion) Speech 3 mins long on running for 9th grade class president! Please can someone help give me ideas or an outline on what I can write pleaseeee. what is the slope for (-11,7),(15,-3) x^2+ 8^2=helppppppppppppppp Which is the equation for the line that passes through (5,-3) and has a slope of 6?