The time taken by Nick to do his statistics homework follows a normal distribution with a mean of 25 minutes and a standard deviation of 5 minutes. Jasmin’s homework time also follows a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. They hate each other’s guts and never work together so we can assume that Nick’s homework completion is independent of Jasmine’s homework completion.

a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmin’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.

b) Calculate the probability that Nick spent longer doing his assignment than Jasmin did. Show your method clearly.

Answers

Answer 1

Answer:

a) Mean of D = -25

Standard deviation of D = 11.18

b) P(N > J ) = 0.9875

Step-by-step explanation:

Given - μₙ = 25, σₙ = 5 , μₐ = 50 , σₐ = 10

where μₙ is mean of nick and  μₐ is mean of jasmine

 σₙ = 5 is standard deviation of nick and σₐ is standard deviation of jasmine

To find - a) Define the random variable D to be the difference between the      amount of time spent on a randomly selected assignment of Jasmine’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.

b) Calculate the probability that Nick spent longer doing his assignment than Jasmine did. Show your method clearly.

Proof -

a)

Mean of D = Mean of nick - Mean of jasmine

                  = 25 - 50 = -25

standard deviation of D = √Standard deviation of Nick + jasmine

                                       = √5² + 10² = √25 + 100 = √125 = 11.18

∴ we get

Mean of D = -25

Standard deviation of D = 11.18

b)

We have to find - P(N > J)

If N > J , then D > 0

Now,

The z-score is expressed as

z = [tex]\frac{0 - (-25)}{11.18} = \frac{25}{11.18} = 2.24[/tex]

Now,

P(N>J) = P (D > 0) = P(Z < 2.24)

                            = 0.9875

⇒P(N > J ) = 0.9875


Related Questions

How many terms are in this expression?
-1 - 8a²b?

Answers

Answer:

2 terms

Step-by-step explanation:

2

Hope this helps :)))))

Quik Call charges 18¢ per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges $7.90 per hour of phone usage, dividing this charge into 15-minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with the lower price, how much will these calls cost?

Answers

Answer:

158? I am not really sure because I am in fifth grade, but I think it may be correct.

quater of 80? its for my maths, thanks xx

Answers

80/4 = 20


explanation

20*4= 80


hope i helped!
A Quarter = 1/4


Quarter of 80:
= 80 x 1/4

= 80/4

= 20

4a^2 - 8a = 24. I need help with this

Answers


The answer is a=3.646

3

The teacher estimated that she would have 68 students this school year. She actually had 74.

What is the percent error?

A 2.08%

B

6%

8.11%

D 191.89%

Answers

Answer:

c

Step-by-step explanation:

7.4: How do You Know?


Explain how you know these two figures are similar.
WILL GIVE BRAINLIST

Answers

Answer:

The one on the right is 25 percent smaller then the one on the left. They have he same angle measures.  The line lengths are just different.

Step-by-step explanation:

Hope this helps.

Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask

Answers

Answer:

Step-by-step explanation:

A.

5 chose 10 = 10*9*8*7*6/1/2/3/4/5 = 252

252 * (0.6)^5 * (0.4)^5 = 0.201

B.

6C10 * (0.6)^6 * (0.4)^4 + ... 10C10(0.6)^10 = 0.633

C.

(0.4)^4*0.6 = 0.015

Can someone help me with this?

Answers

use the Pythagoras theorem method

a squared plus b squared equals c square

tell me you love me pls i need sum luv i spents alot of time doing this im doing another one but 100 pts

Answers

Answer:

I love you and i'm proud of you :)

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.​

Answers

Answer:

its c

Step-by-step explanation:

i did the test

The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.

What is an expression?

In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.

In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.

The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.

The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.

To know more about an expression follow

https://brainly.com/question/21813010

#SPJ7

A can of soup weighs
23.5 ounces. The can contains
2.5 servings. How many
ounces are in 1 serving?

Answers

Answer:

9.4 serving

Step-by-step explanation:

23.5/2.5 = x/1

just divide 23.5 from 2.5 lol

x = 9.4

I'd be sorry if im wrong

what is the horizontal cross section of the figure shown helpppp ill give brainliest answer

Answers

Answer:

Square

Step-by-step explanation:

Probably square

To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.
132 students ate breakfast.
183 students ate lunch.
273 students ate dinner.
69 students ate breakfast and lunch.
113 students ate breakfast and dinner.
95 students ate lunch and dinner.
55 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students

(b) Exactly one meal in the cafeteria?
students

(c) Only dinner in the cafeteria?
students

(d) Exactly two meals in the cafeteria?
students

Answers

Answer:

920 Students

Step-by-step explanation:

Add all of the meals together

Please dont judge me if i get this wrong this is why i joined brainly i don´t know nothing

Using the graph of f, determine f(0).

Answers

when x = 0, y = 0

f(0) = 0

I used a tutor for this and the answer I was given is 17.5. Which is incorrect. I am trying to understand how to solve.​

Answers

So you need to decide if you are using cos,sin or tan

You use soh cah toa for this

You label the sides

Hypotenuse - which is the side opposite the right angle

Opposite- which is the side opposite the angle given

Adjacent - the left over side

In this case the opposite doesn’t have any values so we are going to cross it out

We are using CAH

Put this into your calculator : Cos(73)x6

Cos(73)x6 = 1.754230228

The answer is 1.8 to 1 decimal place

Answer:

A right angle is 90 degree

Step-by-step explanation:

73 -90 degrees is 17 degrees. A right angle, shown is at 90 degrees

What equation is the equivalent to 2x^2-24x-14=0

Answers

Answer:

2(x^2-12x-7)

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

1:5

Step-by-step explanation:

Total flowers: 4+16 = 20

Ratio = gold:total = 4:20

This simplifies to 1:5

Answer:

1:5

Step-by-step explanation:

4 gold flowers out of 20 total gold and purple

makes it 4:20

reduced 4:20 is 1:5

What is the ratio of x to y?
5x = 6y

Answers

Answer:

6:5

Step-by-step explanation:

Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.

The ratio between x and y, when 5x = 6y, is 6:5.

Given is an equation 5x = 6y, we need to find the ratio between x and y,

To determine the ratio of x to y in the equation 5x = 6y, we need to isolate one of the variables and express it in terms of the other.

Let's isolate x:

5x = 6y

Divide both sides of the equation by 5:

x = (6y) / 5

Now we have an expression for x in terms of y. The ratio of x to y can be represented as:

x/y = (6y) / (5y)

The y terms cancel out:

x/y = 6/5

Therefore, the ratio of x to y is 6:5.

Learn more about ratio click;

https://brainly.com/question/32531170

#SPJ4

Enter a phrase for the expression. 49s

Answers

I don’t get this explain it better

I need help please?!!!

Answers

I think it’s b y=2 sorry if it’s wrong

At a grocery store a 12 pack of 10.75 ounce cans of soup is sold for 15.65 there are 128 oz in a gallon determine the price per gallon round to the nearest cent

Answers

MY THROAT CRAZYYYYYY

si hay 3/4 de nieve de chocolate y vainilla el resto y el resto de es de fresa qué fracción total de la nieve es de fresa?​

Answers

La fraccio total de nieve de fresa es de ¼.

70 points!!!!!!!!!!!!
Find the sin, cosine, and tangent of angle A. Give your answers as fractions in simplest forms.

Answers

Find BC

AC^2=AB^2+BC^2

20^2=16^2+BC^2

400=256+BC^2

BC=√(400-356)

BC=12

Use SOHCAHTOA

Sine A=12/20=3/5

COS A=16/20 =4/5

TAN A=12/16 =3/4

The coefficients in the expansion of (x + y)6 are


A. 1, 6, 15, 20, 15, 6, 1
O B. 1, 6, 15, 15, 6, 1
O C. 0, 1,6, 15, 15, 6, 1, 0
O D. 0, 6, 15, 20, 15, 6,0

Answers

Answer:

A

Step-by-step explanation:

A garden is made up of flowers and shrubs in the ratio 6:11. If there are 48 flowers in your garden, how many shrubs are there?
The answer, please ASAP

Answers

Answer:

Step-by-step explanation:

que tu hablas español¿

Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)?

Answers

Two lines [tex]y_1,y_2[/tex] are perpendicular if their slopes are in a relation [tex]m_1=-\frac{1}{m_2}[/tex].

So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.

To find slopes, use slope formula

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

The first slope of a line passing through [tex]PQ[/tex] is

[tex]m_1=\frac{-13-(-9)}{6-2}=\frac{-4}{4}=-1[/tex]

The second slope of a line passing through [tex]RS[/tex] is

[tex]m_2=\frac{-1-(-5)}{5-1}=\frac{4}{4}=1[/tex]

Now check if [tex]m_1=-\frac{1}{m_2}[/tex] is true

[tex]-1=-\frac{1}{1}\implies -1=-1[/tex]

This means the two lines are perpendicular.

Hope this helps.

This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Multi-Step A court reporter types 1.5 words per second.



Part A



Graph the relationship, where x is the time in seconds and y is the number of words typed.

Answers

I believe it would be Y=1.5x I say this because x represents the seconds and they can type 1.5 words Per second so you would be 1.5x and Y is the number of words which would be the solution at the end of the problem, this is why you put Y=

j < –0.65 The variable in the inequality is .

Answers

Answer:

NO SE PERO LOS AMO A TODOS CHIKISTRIKIS

Step-by-step explanation:

SORRY NO SPEAK ENGLISH

i will give a brainliest if your answer are correct

Answers

Answer:

huhh what this is question is too hard

5×(4+3×2)=5×(4+6)=5×10=50

then its answer C

Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the strips together to make a rectangle. Then Len divides the rectangle into sixths so that each sixth is one color. What fraction other than 1/3 names the part of the rectangle that is red?

Answers

Answer:

2/6

Step-by-step explanation:

Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.

Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6

Other Questions
Who are the surviving characters in Romeo and Juliet, I need help for an essay Qu similitudes ves entre los relatos: Ramayana y la historia de Sinuhe y otros relacionados con la tradicin judeo- cristiana? How many moles of potassium are needed to react completely with 7.50 mol of chromium (III) oxide? Show work. Find two numbers such that their sumis 337 and theirdifference is 43? A relation contains the points (-5, -10), (-2, -4), (-1,-2), (4,8) and (5,10). is this a function? On a test Darra scored 36 points. If there were 40 points posible what grade did she get? How do you use music as a tool to navigate difficult times? 10-4+9/3=9 true or false which logarithmic equation is equivalent to 2^5=32 how much higher is -200 than 450m i have to do a number graph using fractions I dont know how can some one copy and paiste this question ? for brainlist ... The Baton Rouge bus boycott of 1953 had a lasting impact on the civil rights movement in Louisiana. In one paragraph, describe both the causes and the effects of the boycott. Your response should include supporting details in the form of facts, quotations, and examples. triple u, then raise the result to the 5th power Take 45 points please save me .(Write one page about something that happened to you With interest English Grammar) The wire A and B are made of copper. Both wwires are inlong but wire A is 1mm thick and wire B is 2mm thick, thespecific resistance isa) more than Ab) more than Bc) same for bothd) cannot compared PHOTOGRAPHY CLASS PLZ HEPPPPType the correct answer in the box. Spell all words correctly. What is the electronic connector for an external flash called? Cameras with an external flash use an electronic connector called a -Blank- to connect the flash to the camera body. write 0.1010 in words Ladybird is a type of bird.TrueFalse Petrified wood is made of: cells sedimentMinerals Jollys scores for the first 3 quarters of the school year were 82, 94, and 88. ahe wants to get an average of 90 for this year. What must her 4th quarter score be?