A contractor is planning the acquisition of bulldozers needed for a new project in a remote area. From prior experience with this equipment he estimates that there is a 60% chance that each bulldozer will be operational for at least six months. If he purchases four bulldozers, it is desired to calculate the probabilities that exactly: 0, 1, 2, 3, and 4 bulldozers will be operational at the end of six months. Please document the following information:

a. Count the number of possible outcomes of the status of each bulldozer at the end of six months:
b. List the five events listed above as a function of the status of each bulldozer at the end of six months documented in 1.); and
c. Calculate the probabilities of these events assuming that the status of each bulldozer is statistically independent of the status of the rest of bulldozers.

Answers

Answer 1

Answer:

0.0256 ; 0.1536 ; 0.3456 ; 0.3456 ; 0.1296

Step-by-step explanation:

P, that each bulldozer will be operational for atleast 6 months = 0.6

p = 0.6 ; q = 1 - p = 1 - 0.6 = 0.4

Number of bulldozers purchased, n = 4

Probability that :

Exactly 0 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 0) = 4C0 * 0.6^0 * 0.4^4

P(x = 0) = 1 * 1 * 0.0256

P(x = 0) = 0.0256

Probability that :

Exactly 1 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 1) = 4C1 * 0.6^1 * 0.4^3

P(x = 1) = 4 * 0.6 * 0.064

P(x = 1) = 0.1536

Probability that :

Exactly 2 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 4C2 * 0.6^2 * 0.4^2

P(x = 2) = 6 * 0.36 * 0.16

P(x = 2) = 0.3456

Probability that :

Exactly 3 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 3) = 4C3 * 0.6^3 * 0.4^1

P(x = 3) = 4 * 0.216 * 0.4

P(x = 3) = 0.3456

Probability that :

Exactly 4 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 4) = 4C4 * 0.6^4 * 0.4^0

P(x = 1) = 1 * 0.1296 * 1

P(x = 1) = 0.1296


Related Questions

Jackson’s puppy eats 24 ounces of feed every day an object with a weight of 1 ounce has a mass that is approximately equal to 28.3 grams


Which measurement is closest to the number of grams of foods Jackson’s puppy eats every day

Answers

Answer:

8

Step-by-step explanation:

bc hdibdjs

Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

q=6 and r=7 look at pic for work

Answer:

It's q = 6 and r = 7

Step-by-step explanation:

Hope this helps and have a great day (^w^)

Also Hi B

Find The values of ( d ,f ,e ) angles

Answers

Answer:

angle d =35, e=55, f=55.............

A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41

Answers

Answer: 360>5.5+36.41d

Step-by-step explanation:

Imagine that Dr. Jones publishes a study that claims that drinking while pregnant is dangerous for the health of the unborn baby. He surveys 200 women and finds that of the 100 women in his study who drank when pregnant, 78 had children who experienced problems with attention. Of the 100 women in his study who did not drink when pregnant, only 29 children experienced problems with attention. Your neighbor says that Dr. Jones is wrong because she drank when pregnant and her child is perfectly healthy. Explain why Dr. Jones is NOT wrong.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Dr. Jones conclusion was based on probability which measures the degree of likelihood of an occurrence or event. In his experiment, the result could be interpreted using point estimate to mean that ; 78/100 = 0.78 or 78% of those who drank while pregnant has problem with attention while only 29/100 = 0.29 or 29% of those who did not drink.

This conclusion means that pregnant women who drink have a higher likelihood of giving birth to a child with attention problem than pregnant women who do not drink. Hence, the fact that someone who drank gave birth to a perfectly healthy child does not discredit or annull Dr. Jones study.

Sarah is making a pizza the diameter of the pizza is 8 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth

Answers

Answer:

Step-by-step explanation:

C=2πr

C=2π4

*If the diameter is 8, then the radius is 4.

C=25.1

hope its correct and hope it helps

Circumference equals 2pir r=4in so 2(3.14)(4in)=25.12

Convert units to solve. (CC.6.RP.3d)
3. A professional football field is 160 feet wide.
What is the width of the field in yards?

Answers

Answer:

53.3 yards

Step-by-step explanation:

you just have to divide 160 by 3 to get it in yards

Solve for.x.
10x-7
3x-4

Answers

Answer:

Length of side having 3x-4 is half of length having 10x-72 by property of triangle.

So

2*(3x-4) = 10x - 72

6x - 8 = 10x - 72

10x - 6x = 72 - 8

4x = 64

X = 64/4

x = 16

4. Marlie made her last monthly interest-only payment on December 1. Her next payment is due on
January 1. What will be the amount of that interest-only payment?
en

Answers

Answer:

ella tiene que pagar 10 por mes. lo siento si no es así, esa no es la respuesta correcta.

Step-by-step explanation:

Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?

Answers

Answer:

1/2

Step-by-step explanation:

because if he has 8 bags he wil only have half a bag left

A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.

Answers

Answer:

24√2

Step-by-step explanation:

Let the side of the square be x

If the diagonal is 12m (hypotenuse), then;

x^2 + x^2 = 12^2

2x^2 = 144

x^2 = 144/2

x^2 = 72

x = √72

x = √36*2

x = 6√2

Perimeter of the square garden = 4x

Perimeter of the square garden = 4(6√2)

Perimeter of the square garden = 24√2

Maria claims that ABE ~ ACD. Select two of the transformations or series of transformations that supports Maria's claim and maps ABE to ACD

Answers

Answer:

All the answers that has the dilation of 3, except the last one.

(2x^3-4x^2+7x-3)/(2x^2 +5)
Divide using long division

Answers

x-2+(2x+7/2x^2+5) refer to the screenshot for steps

PLEASE HELP ME
Amelia burns 10 calories for each minute that she spends running. How many calories will she burn if she runs for 20 minutes?
SHOW YOUR WORK

Answers

Answer:

She will burn 200 calories

Step-by-step explanation:

10(number of calories)x20(minutes)=200

Answer:

amelia is running for 20 minutes. so

10 calories per minute

x

20 minutes of running

=

200 calories burned.

10 x 20 = 200

write the place value of the 5 in each number. a) 1 325​

Answers

Answer:

Place Value of 5 in 1325 is 'Thousands'

In one online store, 12 % 12%12, percent of the orders are placed by new customers. Let N NN be the number of orders placed in a day to reach the store's first new customer. Assume each order's customer status is independent. Find the mean and standard deviation of N NN.

Answers

Answer:

mean-8.3

sd-7.8

Step-by-step explanation:

khan

Answer:

Mean: 8.3 orders

Standard deviation: 7.8 orders

Step-by-step explanation:

George spent exactly one dollar for some 5 cent stamps and some
thirteen cent stamps. How many 5 cent stamps did he buy?

Answers

Answer:

He bought 3.3 cents

Step-by-step explanation:

I hope I am right

PLEASE HELP I NEED A GOOD MATH GRADE

Answers

Answer:

1.2 to 10 o->

2.8 to -10 <- with fully bubbled o

Sea un cuadrado de 2 pulgadas de lado uniendo los puntos medios se obtiene otro cuadrado inscrito en el anterior si repetimos este proceso obtenemos una progresión de infinitos cuadrado comprobar que la área de los infinitos cuadrados forman una progresión geométrica y calcula la suma de todas las áreas

Answers

Answer:

1) La serie geométrica formada es

4, 2, 1,..., ∞

2) La suma al infinito de las áreas de los cuadrados es 8 in.²

Step-by-step explanation:

1) El área del primer cuadrado, a₁ = 2² = 4 pulgadas²

El área del siguiente cuadrado, a₂ = (√ (1² + 1²)) ² = (√2) ² = 2 pulg²

El área del siguiente cuadrado, a₃ = ((√ (2) / 2) ² + (√ (2) / 2) ²) = 1 pulg²

Por lo tanto, la razón común, r = a₂ / a₁ = 2/4 = a₃ / a₂ = 1/2

Las áreas de los cuadrados progresivos forman una progresión geométrica como sigue;

4, 4×(1/2), 4 ×(1/2)²,...,4×[tex](1/2)^{\infty}[/tex]

De donde obtenemos la serie geométrica formada de la siguiente manera;

4, 2, 1,..., ∞

2) La suma de 'n' términos de una progresión geométrica hasta el infinito para -1 <r <1 se da como sigue;

[tex]S_{\infty} = \dfrac{a}{1 - r}[/tex]

Por lo tanto, la suma de las áreas de los cuadrados hasta el infinito se obtiene sustituyendo los valores de 'a' y 'r' en la ecuación anterior de la siguiente manera;

[tex]La \ suma \ al \ infinito \ del \ cuadrado \ S_{\infty} = \dfrac{4 \ in.^2}{1 - \dfrac{1}{2} } = \dfrac{4 \ in.^2}{\left(\dfrac{1}{2} \right)} = 2 \times 4 \ in.^2= 8 \ in.^2[/tex]

La suma al infinito de las áreas de los cuadrados, [tex]S_{\infty}[/tex] = 8 in.²

Which shows how to solve the equation 3/4 X=-6 for x in one step?

Answers

Answer:

x=-8

Step-by-step explanation:

You have to divide by 3/4 each side

Since it's a fraction it will multiplying by the recripocal on each side which will be 4/3.

If you multiple 4/3 to -6 the answer should be -8. So X would equal -8.

What was Joy's balance before she withdrew money from the mall ATM?

Account Number 1212343434

Statement period: 6/14/2013 to 7/15/2013

Beginning Balance

Total Deposits

Total Withdrawals

Ending Balance

$1214.50

$148.00

$295.48

$1067.02

Ref #

Date

6/15

6/19

Debits (-) Credits (+)

15.44

40.00

84.39

103.66

148.00

6/27

Description

Electronic Purchase_Comer Market

ATM-Evergreen Mall

Check

Check

Deposit

Electronic Purchase

Barb's Books

558

557

Balance

1199.06

1159.06

1074.67

944.01

1092.01

1067.02

6/28

7/1

7/7

24.99

$ 1199.06

$1159.06

S1074.67

Answers

The answer is $1199.06

Help me pleaseeeeeeeeeeeeee

Answers

I am pretty sure the answer is H

Examine the steps used to solve the equation.

Negative 3 y + two-thirds = 2 y minus 4. 1. Two-thirds = 5 y minus 4. 2. StartFraction 14 Over 3 EndFraction = 5 y. 3. (one-fifth) StartFraction 14 Over 3 EndFraction = (one-fifth) 5 y.

Evaluate the steps used to solve the equation, and then describe each step.

Step 1:
Step 2:

Step 3:
What is the solution to the equation?

y =

Answers

Answer:

can confirm guy or girl above me

Step-by-step explanation:

The solution to the equation is y=14/15.

The given equation is -3y+2/3=2y-4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, transpose -3y to RHS and simplify.

That is, 2/3=5y-4

Transpose -4 to LHS and simplify.

That is, 14/3=5y

Multiply by 1/5 on both sides of the equation.

So, 14/3×1/5=5y×1/5

⇒y=14/15

Therefore, the solution to the equation is y=14/15.

To learn more about the equation visit:

https://brainly.com/question/10413253.

SPJ5

I need this please help me

Answers

The correct answer I believe is A

Nope this helps
Make sure to like!


Autumn wants to calculate the area of the regular hexagon below using rectangles and triangles. What is the minimum number of shapes she could use?
Two triangles and one rectangle
Two rectangles and one triangle
Two triangles and two rectangles
no rectangles and 6 triangles​

Answers

Answer:

A. Two triangles and one rectangle.

Step-by-step explanation:

A regular hexagon has all six sides to be equal in length. The sum of its interior angle can be determined by:

                                      sum of angles = (n - 2) x 180

So that some series of different shapes can be produced from the polygon. In the given hexagon, the minimum number of shapes that can be produce is 3 which are; 2 triangles and a rectangle.

Weekly Pay The weekly salary of an employee is
$250 plus a 6% commission on the employee's total
sales. Find the weekly pay for a week in which the
sales are $5500.

Answers

Answer: $580

Step-by-step explanation:

Equation for this problem: 250 + 0.06c = p  where c = commission and p = pay

If the sales for this employe was $5500, we can fill out the equation:

250 + 0.06 × 5500 = 580

The employee is paid $580.

I am not a professional, simply using prior knowledge.

Note- It would mean the world to me if you could mark me brainliest!

Ismael has a set of 5 solar panels and Ben has a set of 6 smaller solar panels. Each set of panels produce the same amount of energy. 3 of Ismael's panels are on and producing energy. 4 of Ben's are on and producing more energy. Whose solar panels are producing more energy? Explain.

Answers

9514 1404 393

Answer:

  Ben's

Step-by-step explanation:

If E is the amount of energy that each full set of panels produces, then ...

  3 of Ismael's 5 panels produce 3/5E

  4 of Ben's 6 panels produce 4/6E

We can compare these fractions when they have a common denominator.

  3/5E = 18/30E . . . . energy from Ismael's panels

  4/6E = 20/30E . . .  energy from Ben's panels

  18/30 < 20/30 . . . . so Ben's panels are producing more energy

Annabelle is going to a carnival that has games and rides. Each game costs $1.75 and each ride costs $3.50. Annabelle spent $28 altogether at the carnival and the number of games she played is 7 more than the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Annabelle played, x,x, and the number of rides Annabelle went on, yy.

Answers

Answer:

$15.75

Step-by-step explanation:

1.75 x 7 = 12.25

28 - 12.25 = 15.75

Add dollar sign. Final answer is $15.75

Answer:

y=-1/2x+8

y=x-7

(10,3)

10 games played and 3 rides

Step-by-step explanation:

What fraction or whole number on the number line 1/9 closest to?

Answers

Answer:

i dont understand either

Step-by-step explanation:none

The cost of 2 hamburgers, french fries, and a soft drink at a fast food restaurant would
be about
a) $15.
b) $50.
c) $5.

Answers

Answer:

a) $15

solving this realistically no fast food place would be above 50 or below 5 (unless is a discount thing)

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