An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission

Answers

Answer 1

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that [tex]p = 0.2[/tex]

Sold seven trucks:

This means that [tex]n = 7[/tex]

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]

[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]

[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]

0.148 = 14.8% probability that they will need to order at least one more new transmission


Related Questions

I NEED YALL HELP PLEASE !!!! On 1,2,3

Answers

Answer:

1) 20%

2) 30%

3) 50%

Step-by-step explanation:

Answer:

1. 40%

2. 25%

3. 60%

Step-by-step explanation:

how much does your dog weigh​

Answers

Answer:

Shes a pitbull so shes at 100lb

Step-by-step explanation:

Also help me with this plz

1. List ten recommendations for exercise for individuals with the following chronic health conditions:

1. Arthritis

2. Asthma

3. Diabetes

4. Heart Disease Hypertension

5. Osteoporosis  

6. Obesity  

7. Pregnancy and postpartum( Please use the internet )

Answer:

my dog? that's a really good question.

Step-by-step explanation:

Well his 12 years old & he weighs like 120 & his truly healthy c:

200 cm = m 4pijwedougfehdgijhskjghskdghksdjgh

Answers

Answer:

b

Step-by-step explanation:

E-24sbsnsnsebebehdttt

Montraie is going to see a movie and is taking his 2 kids. Each movie ticket costs $13
and there are an assortment of snacks available to purchase for $3.50 each. How
much total money would Montraie have to pay for his family if he were to buy 4
snacks for everybody to share? How much would Montraie have to pay if he bought X
snacks for everybody to share?

Answers

cost of 4 snacks

Answer: 53

Total cost: 3.50× + 39

whats the oposite if -5 ?

Answers

5 is the opposite of -5.

I’ll give points + brainalist for he correct answer (:

Answers

The diameter of a tire is the distance across the tire through the center. Since tires are circular, you can find the circumference of the tire from the diameter. The circumference represents the distance the tire travels when it makes one revolution. If you know the number of inches in a mile and the circumference, you can find the number of times the wheel turns per mile.

First, measure the diameter of the tire in inches.

Secondly, multiply the diameter by pi, which is approximately 3.1416, to find the tire circumference. For example, if the tire has a 20 inch diameter, multiply 20 by 3.1416 to get 62 inches.

Hope this helped

18
19
O 18-1/4
O
1/4"
1-1/4

Answers

Answer:

I think I don't understand the question

15) Which coordinate pair identifies a point in Quadrant III of the coordinate plane?

A) (2,3)

B) (-2,3)

C (2, 3)

D (-2, -3)​

Answers

D

Because it’s both negative numbers

Help me with the work please if you can

Answers

Answer:

1/3

Step-by-step explanation:

48+32+16=96

numerator : 32

denominator : 96

32/96=1/3

Based on the information in the diagram, what is the length of side b?

Answers

Answer:

29

Step-by-step explanation:

The length of side b is 36.

What is the length of side b?

Triangle 1 and 2 are similar triangles. In order to determine the length of side b, the ratio of the lengths given has to be determined.

45/10 = 4.5

This means that triangle 2 is 4.5 times larger than triangle 1.

Length of side b = 4.5 x 8= 36

To learn more about similar triangles, please check: https://brainly.com/question/10658464

Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change

Answers

Answer:

40%

hope this helped :)

40 percent is the answer

3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.

Answers

Answer:

Wait what

Step-by-step explanation:

Plz answer this I will give brainliest

Answers

Answer:

C

Step-by-step explanation:

A=6a²=6·6.5²=253.5

Cassandra reads 28 pages of a book in 1 1/6 hours. Express her reading speed in pages per hour?

Answers

Answer:

0.24 pages per hour

Step-by-step explanation:

To solve this you have to divide total pages by the hours to get the speed per hour. Here is the equation;

28 / 116 = 0.2413793103448276

Hope this helps!

Don’t quite understand.

Answers

Answer:

(a) Same slope and different y intercept

Step-by-step explanation:

Given

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]-3x + 7y = 13[/tex]

Required

Are the lines, parallel?

To do this, we first convert both equations to slope intercept;

[tex]y = mx+ b[/tex]

Where

[tex]m = slope[/tex]

So, we have:

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]-3x + 7y = 13[/tex]

Solve for 7y

[tex]7y = 3x + 13[/tex]

Solve for y

[tex]\frac{7y}{7} = \frac{3x}{7} + \frac{13}{7}[/tex]

[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

So, the two equations are now:

[tex]y = \frac{3}{7}x + 11[/tex]

[tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

When two lines have the same slope but different y intercepts, then they are parallel.

Recall that:

In [tex]y = mx + b[/tex]

[tex]m = slope[/tex]

[tex]b = y \ intercept[/tex]

So:

In [tex]y = \frac{3}{7}x + 11[/tex] and [tex]y = \frac{3}{7}x + \frac{13}{7}[/tex]

The slopes are:

[tex]m = \frac{3}{7}[/tex] and [tex]m = \frac{3}{7}[/tex]

The y intercepts are:

[tex]b = 11[/tex] and [tex]b = \frac{13}{7}[/tex]

Since the values of m (the slope) are the same and the values of b (the y intercepts) are differenr, then they are parallel

HELPPP ME NOW (7x^4 − x^2 + 10x + 15) ÷ (x + 1)

Answers

Answer: 7x^(2)-7x^(2)+6x+4+(11)/(x+1)

Step-by-step explanation:   Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.

not sure how im suppose to answer but yeah

brainliest or a thank you please :)) <33

Answer:

(7x4-x2+10x+15) / (x+1)

Step-by-step explanation:

An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.

Answers

Hi

Let's call X  the amount in the beginning.  

we  have X*1.03^6 = 1819.77

                X =  1819.77 /  1.03^6

                X ≈ 1524.03

Sarah is saving to buy a new phone. She needs $150, and she has already saved $63. Write an equation to model this situation. Let
x represent the amount of money Sarah needs.
A)
X-63 = 150
B)
x+63 = 150
X + 150 = 63
D)
X - 150 = 63

Answers

the correct answer choice should be letter A as in Ana.

Answer:

B.

Step-by-step explanation:

x+63=150

x+63-63=150-63

x=87

She needs 87 more dollars for her new phone.

What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)

A. 14,000 g

B. 140 g

C. 1.4 g

D. 1,400 g

Answers

Answer:

D

Step-by-step explanation:

Answer:

it is D im 99% sure

Step-by-step explanation:

dddddddd

what is the square root of 2457

Answers

Answer:

49.568

Step-by-step explanation:

Here ya go I think this is it

17 A plank of wood is 3.6 metres long. 85 cm is sawn off.
How long is the remaining plank?
help please if yo help she will marry you ​

Answers

Answer:

2.75

Step-by-step explanation:

So lets work this out:

First, we will need to convert 85 cm to meters. That would be 0.85 meters.

Now we can take 0.85 meters and subtract it from 3.6. This equals 2.75.

A plank of wood is 3.6 meters long. 85 cm is sawn off.  How long is the remaining plank? 2.75 meters

Also no thank you I am a lady

If the product of 5 and w to the
second power is equal to the sum of 9 and k, what is the NEGATIVE value of w makes this statement true if k=-4 ?

Answers

Answer:

-√1/5

Step-by-step explanation:

If the product of 5 and w to the second power is equal to the sum of 9 and k, this is expressed as;

(5w)² = 9 + k

Given that k = -4, on substituting;

(5w)² = 9 + (-4)

(5w)² = 9-4

(5w)² = 5

25w² = 5

5w² = 1

w² = 1/5

w = ±√1/5

w = -√1/5

Hence the NEGATIVE value of w is -√1/5

I Really need help with this question!
Logan ordered a box of gingerbread cookies and sugar cookies the box included a total of 70 cookies and 60% of them were gingerbread how many gingerbread cookies did Logan get

Answers

Answer:

42

Step-by-step explanation:

60% of 70 is 42

How many different triangles can be made with the angle measures 30°, 60°, and 90°? A none B one © exactly two D more than two

Answers

b. you can only make one triangle because triangles only have 180 degrees

A bag contains 6 red and 10 black marbles. If you pick a marble, record its color, and return it to the bag 200 times, how many times can you expect to pick a black marble?

Answers

Simple just get rid of all the marbles then the put the black marbles out of the bunch and then count them

Answer:

12.5

Step-by-step explanation:

6+10= 16    200/16=12.5

Explain how you can write a fraction equivalent to 1/4

Answers

Answer:  2/8  

Step-by-step explanation: becau

Here, we have to write a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex].

To find a fraction equivalent to the given fraction, we multiply a same number with the denominator and the numerator of the given fraction.

Multiply 2 with the numerator and the denominator of the fraction.

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 1 \times 2}{ 4 \times 2} } [/tex]

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 2}{ 8} } [/tex]

So, a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex] is [tex]\sf \red{ \dfrac{2}{8}} [/tex].

Similarly, we can multiply with another numbers (ex : 3,4,5,6) with numerator and the denominator of the given fraction to find the fractions equivalent to the given fraction.

PLEASE HELP ME, I NEED THIS NOW !!!!

Answers

Answer:

b

Step-by-step explanation:

Tammy rents a storage shed. The storage shed is in the shape of a rectangular prism with measurements as shown. A rectangular prism has a length of 10 feet, height of 9 feet and a width of 9 feet. Select the phrase and number from the drop-down menus to correctly complete each sentence. Tammy can find the volume of the storage unit by . To completely fill the storage shed, Tammy would need unit boxes that each measure 1 cubic foot.

Answers

Answer:

finding the product of 9,10,and 9

810

Step-by-step explanation:

Anyone I need this please

Answers

base because no matter how you flip it it’s on it’s bottom

Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box?​

Answers

Step-by-step explanation:

Dimensions of cube = 1 in × 1in .

No. of cubes in each layer = 15 .

No. of layers = 2 .

• Therefore the volume of one cube :-

[tex]\tt \to Volume_{(cube)}= side^3 = (1 \ in.)^3 = \red{1in.^3}[/tex]

• Therefore the volume of one layer :-

[tex]\tt\to 1\ in.^3\times 15 =\orange{15\ in.^3} [/tex]

• Therefore the volume of whole box :-

[tex]\tt\to 2\ in.^3\times 15 =\orange{30\ in.^3} [/tex]

Therefore our required answer is 30 inch ³.

15x2=30 polegadas

bhyrhyhybtrhthvtt

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