Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly two will end up being replaced under warranty?

Answers

Answer 1

Answer:

The required probability is 0.09875

Step-by-step explanation:

From the given information;

the probability of repairing the telephones = 0.70

the probability of the replaced = 0.30

Suppose we consider  Mto denotes the telephone that is submitted for service while under warranty and must be replaced.

Then;

p = P(S) = P(replaced | submitted) P(submitted)

= 0.30 × 0.20

= 0.06

Now, the probability that exactly two will end up being replaced under warranty given that it assumes  a binomial distribution where n = 10 and p = 0.06

[tex]P(X=2)=\bigg (^{10}_{2}\bigg) 0.06^2(1-0.06)^{10-2}[/tex]

[tex]P(X=2)=\dfrac{10!}{2!(10-2)!}\times 0.06^2\times (0.94)^{8}[/tex]

[tex]\mathbf{P(X=2)=0.09875}[/tex]


Related Questions

A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?

A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour

Answers

Answer:

D. 1000 gallons per hour

Step-by-step explanation:

5000 / 5 = 1000

Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.

Hoped this helped!

A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.

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Dhaka 22 herbs sisjsn jabs and she

Someone help me with this please

Answers

Answer:

pretty sure it's B, its just really hard to see

Step-by-step explanation:

1a) How much does each person pay when 6 people share the cost of a meal
costing $100?

Answers

Answer:

16.66

Step-by-step explanation:

Answer:

16.6666666667

Step-by-step explanation:

you take 100 and divide it by 6 and you will get 16.6666666667 or if you round it you will get 17 dollars

Help please please please

Answers

A, make me the brainiest answer too pls

Hi I'm struggling with this equation 1/2 * (- 4 + 12) + 3(1/3 * x + 6) = 3/4 * (- 16x + 8) and need help ​

Answers

Answer:

im not sour if this is what you want but i got 1.3 repeating

Step-by-step explanation:

u simplify in ur head

what 2-7/8 divided by 3/4

Answers

Answer is 72.66666667

I hope it is helpful for you....

Sorry Guys, Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end, I don't know what answer to choose. Both seems correct to me.

Answers

Answer:

d

Step-by-step explanation:Angle 12 & 10 are effectively corresponding angles, but angle 10 & 7 are alternate interior angles. Anyways, Angle 12 & 10 are congruent and 10 & 7 are congruent. At the end, the three angles 12, 10, and 7 have the same measure. If we put it otherwise, the line B is intersecting line D which form right angles equals to 90 degrees, so angle 12 = 90, and the same happens with angle 10 and 7, so the three angles are congruent, but at the same time, angle 7 is supplementary with angle 12 because their sum is equal to 180, (90 + 90 = 180). If you think from different angles is hard to choose the right answer, so what I guess is that we don't need to take into account the angle 10, just the fact that line A intersect line C, and Line B intersect line D forming right angles, and that angle 7 and 12 are right angles which sum equals 180, therefore, we could say that they are supplementary angles, but also congruent because they measure the same, so at the end,

Multiply -5/3 and -9/1

Answers

it’s 15!! hope this helps :))))
-5/3 x -9/1

Multiplying two negatives gives a positive:

5/3 x 9/1

Reduce the numbers using the greatest common factor (3):

5 x 3/1

5 x 3

15


Final answer is: 15

In fractional form: 15/1

Whoever answers this gets brainlist!

Answers

Answer: 5^5.

Step-by-step explanation: Using the equation x^a*x^b = x^(a+b), we find that 5^2*5^3 is equal to 5^5.

Principal=$100 rate=5% years=3 what is the interest?

Answers

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

Interest = 100 x 5% x 3

Interest = 5 x 3

Interest = 15

I BET YOU CANT SOLVE THIS

Answers

Answer:

Step-by-step explanation:

5 x ( 9 + 4 ) = ( 5 x __ ) + ( 5 x __ )

using distributive property,

the answer is

( 5 x 9 ) + ( 5 x 4 )

if u want the final answer

it becomes

45 + 20

= 65

Hope this helps

plz mark as brainliest!!!!!!!!

Solve 4-(-h)=12!!!can someone help meee

Answers

Answer:

The answer is 8

Step-by-step explanation:

Since there's already a negative sign right beside h and one outside of it, the answer has to be positive, and since 12-4=8, the answer is 8

There are 210 calories in a 12 ounce drink if Katie drinks 5 ounces how many calories did she drink

Answers

Answer:

she drank a total of 87.5 calories

Step-by-step explanation:

you divide 210 by 12, and multiply by 5! :)

Answer:

87.5

Step-by-step explanation:

calories per oz is 210/12=17.5 then 5x17.5=87.5

use approximations to 1 significant figure, estimate the value of
0.482x61.2²÷√98.01

Answers

Answer:

182.353745455

Answer:180

Step-by-step explanation:

boys:total students = 2:9, girls = 21, boys =

Answers

Answer:

6 boys

Step-by-step explanation:

Subtract to find the total number of girls.

9 - 2 = 7 girls

Write a ratio from boys to girls.

2:7

Divide to find the scale factor.

21 / 7 = 3

Multiply to find the total number of boys.

3 * 2 = 6

Best of Luck!

Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS

Answers

Answer:definition of midpoint, angle BCA is congruent to angle DCA

The triangles ΔABC and ΔADC are congruent triangles by

a) definition of mid-point

b) measure of ∠ACB = measure of ∠ACD = 90°

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADC

Now , the side AC is the common bisector of both the triangles such that

C is the midpoint of BD

So , the measure of side BC = measure of side CD

And , the perpendicular bisector is right angle

So , the measure of ∠ACB = measure of ∠ACD = 90°

And , the measure of AC = measure of AC ( reflexive property )

Therefore , the triangles are congruent by SAS theorem

Hence , the triangles are congruent

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Is is 24, 15, 23 or 33

Answers

Answer:

33

Step-by-step explanation:

Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3

Answers

Answer:

A

Step-by-step explanation:

Solve two sevenths plus seven fourteenths

Answers

Answer:

Eleven Fourteenths

Step-by-step explanation:

Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14

Answer:

c

Step-by-step explanation:

i took the test

Select all intervals in which the function P(t) is decreasing

Answers

Answer:

we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

Step-by-step explanation:

At x< 1, the function P(t) is decreasing

A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>xA function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x

From the figure, it is clear that the function seems to be increasing

from (1, 3) and then 4 to onwards.

But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).

Therefore, we conclude that the intervals in which the function P(t) is decreasing are:

x < 13 < x < 4

Can y’all answer the middle one Ill mark you brainlist.

Answers

Answer:

4.44 infinet

Step-by-step explanation:

If you are asking and need to round it up it will come up to

4.444

You need to round it up because the 4.444 goes on and on infinitely.

If you needed another answer comment what it is you need and I will answer you on there.

YW

Find the distance between the two numbers on a number line −7,−323

Answers

Answer:

-316

Step-by-step explanation:

...................

On a test a student got 15 problems correct out of a total of 20 problems.
What percent did the student get incorrect?
HURRY

Answers

Divide 15 by 20

15 divided by 20 is 75%

In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 8 households turned out the lights and pretended not to be home on Halloween. Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.)

Answers

Answer: (0.1118, 0.3454)

Step-by-step explanation:

Confidence interval for population proportion is given by :-

[tex]\hat{p}\pm z^c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where [tex]\hat{p}[/tex]= sample proportion , n= sample size, [tex]z^c[/tex] = critical z-value for c confidence level.

Let p = the proportion of all households in Cherry Creek that pretend not to be home on Halloween.

Given : n= 35

[tex]\hat{p}=\dfrac{8}{35}\approx0.2286[/tex]

Critical z-value for 90% confidence level =1.645

A 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween:

[tex]0.2286\pm (1.645)\sqrt{\dfrac{0.2286(1-0.2286)}{35}}\\\\=0.2286\pm 0.1168\\\\=(0.2286-0.1168,\ 0.2286+0.1168)\\\\=(0.1118,\ 0.3454)[/tex]

∴ Required confidence interval : (0.1118, 0.3454)

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint I order to make green paint.Which ratio of gallons of blue paint to gallons of yellow paint green will make the same shade of green paint

Answers

Answer:

10:18   10 gal of blue paint and 18 gal of yellow paint.

Step-by-step explanation:

Answer:

i'm going to guess either 5:9 or 9:5...

Step-by-step explanation:

r−5r−6s+8s−15 what is the answer for this equation

Answers

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

The simplified form of the given expression is -4r+2s-15.

The given expression is r-5r-6s+8s-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows:

r-5r-6s+8s-15

= -4r+2s-15

Therefore, the simplified form of the given expression is -4r+2s-15.

To learn more about an expression visit;

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What is the slope-intercept equation of the line below?

Answers

Answer:

the answer is C hope this helps

Brody deposited $500 into a savings account that earns 1% interest compounded annuall. He
makes no more deposits and no withdrawals. How much interest has Brody's account earned
after 2 years?

Answers

Answer:

he would get 10$

Step-by-step explanation:

if you divide 500 by 1 you get 5 times that by 2

(7 points) Simplify to create an equivalent expression.{-4(z+3)-4(5-4z)

Answers

Answer : 12z - 32

Explaination:

Uhhh yeah math?

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