Suppose that, on average, 1 person in 1000 makes a numerical error in preparing his or her income tax return. If 10,000 returns are selected at random and examined, find the probability that 6, 7, or 8 of them contain an error.

Answers

Answer 1

Answer:

0.2657

Step-by-step explanation:

Given that:

Probability of Error (p) = 1/ 1000 = 0.001

Number of trials (n) = 10000

μ = (n * p) = 10000 * 0.001 = 10

Using the binomial distribution :

P(x, μ) = e^-μ (μ^x) / x!

for x = 6

P(6, 10) = e^-10 (10^6) / 6!

P(6, 10) = 0.0000453999 (1388.8888) = 0.06305541263112

for x = 7

P(7, 10) = e^-10 (10^7) / 7!

P(7, 10) = 0.0000453999 (1984.1269) = 0.09007916284731

for x = 8

P(8, 10) = e^-10 (10^8) / 8!

P(8, 10) = 0.0000453999 (2480.1587) = 0.11259895696413

P(6) + P(7) + P(8)

0.06305541263112 + 0.09007916284731+ 0.11259895696413

= 0.26573353244256

= 0.2657


Related Questions

The town of Springville is mapped on a coordinate grid with
the origin being at City Hall. John's house is located at the
point (-5, 7) and Bill's house is located at (-2,3). How far is it
from John's house to Billy's house?

Answers

Answer:

The distance from John's house to Bill's house is 5 units

Step-by-step explanation:

John's house is located at the point (-5,7) and Bill's house is located at (-2,3) in a map of the town of Springville.

We need to find the distance from John's house to Bill's house. We use the formula of the distance between two points:

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(w-x)^2+(z-y)^2}[/tex]

Applying the formula:

[tex]d=\sqrt{(-2+5)^2+(3-7)^2}[/tex]

[tex]d=\sqrt{3^2+4^2}[/tex]

[tex]d=\sqrt{9+16}=\sqrt{25}[/tex]

d=5

The distance from John's house to Bill's house is 5 units

Which equation represents the graph on the right?

Answers

Answer:

y=2/3x+4

Step-by-step explanation:

3. slope is -2/3x and b is 4

5 5/6 + 1 5/12

A. 7 1/4

B. 6 10/18

C. 4 5/12

D. 1 1/4

Answers

Answer:

A

Exact Form: 29/4

Decimal Form: 7.25

Mixed Number Form: 7 1/4

determine the common ratio for the geometric sequence 3, 4, 16/3​

Answers

Each number is approximately 1.33 times the size of the last one. The next number would be 7.09, then 9.43 etc.

Find the inverse of the function y = 2x2 + 2.

]

Answers

Answer:

-y = -2x^2 -2.........................................

Answer:

[tex]y=+/-\sqrt{\frac{1}{2} x-1}[/tex]

Step-by-step explanation:

Edge2020

62 is half of one lesss than the cube of a whole number. What is the number

Answers

Answer:

The answer is 5.

62 is half of 124

124 is one less than 125

The cube root of 125 is 5.

That is... 5 times 5 times 5 equals 125, since, 5 times 5 equals 25; and, 25 times 5 equals 125.

Hope this helps.

Step-by-step explanation:

estimate 34% of 59

a) 15
b) 17.7
c) 20
d) 20.06

i really need this like, right now i’m giving a bunch of points please help meeee!

Answers

the exact answer is 20.06 but the estimate is 20

Answer:

option D)20.06

hope it helps

please mark Brainliest

HELPPP ITS DUE AT 2:30 PACIFIC TIME !!!
i need help with 6 and 10

Answers

6 is 102 because both angles are the same

What is the value of log3 729?

Answers

Answer:6

Step-by-step explanation: I do not have an explanation for you but its 6

-(10 - 8x) + 2(5y + 6) - 8x + (-2y)

Answers

Step-by-step explanation:

1

0

+

2

+

(

2

)

Helppp meee!!!! :( I don’t know how to do this !

Answers

Multiply 17 and 29 then divide it by a half

what is the pattern for the sequence 2 3 5 8 13​

Answers

Can you be more specific please

speed limit signs are placed every 5/8 mi on the highway. how many signs are there on a 75 mi strech of highway?

Answers

Answer:

46

Step-by-step explanation:

the answer is 46.875, but you always round down for these types of problems

help pls i’ll give brainlest if it’s correct .

Answers

Answer:

its groups

i hope this helps study hard

Does this graph represent a function? Why or why not? A. No, because it is not a curve. B. No, because it fails the vertical line test. C. Yes, because it passes the vertical line test. D. Yes, because it has two straight lines.

Answers

Answer:

I think it is because it passes the vertical line test. or b

Step-by-step explanation:

Convert 26.7% to an
equivalent decimal.​

Answers

Answer: 26.7

First, you must remove the percentage sign, then you will get a equivalent decimal.

When we remove the % sign, we get 26.7.

The answer is 26.7. Hope this helps!

It is found that 26.7% as an equivalent decimal is 0.267.

LEt the value of which a thing is expressed in percentage is "a' so the percent that considered thing is of "a" is b%

However percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To convert 26.7% to an equivalent decimal, we simply divide it by 100:

26.7% ÷ 100

26.7/ 100 x 100 = 0.267

Therefore, WE can conclude that 26.7% as an equivalent decimal is 0.267.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ6

solve the following problem.

1. A leaking faucet waste about 3 liters of water a day. How many liters of water can be saved daily if 500 leaking faucets are repaired?

2. The quotient is 25 and the divisor is 14. the dividend is 353. I am the remainder what number am I?

3. Isaiah had 63 apples. He divided all apples evenly among his 9 friends. How many apples did Isaiah give to each of his friends?

4. Nancy needs 5 oranges to make a glass of orange juice. If Nancy 250 oranges, how many glasses of orange juice can she make?​

Answers

Answer:

1) 1500 litres

2)Remainder = 3

3)7 apples

4)50 glasses

Step-by-step explanation:

1) We are told that a leaking faucet wastes about 3 liters of water per day.

Now, if 500 faucets are repaired, it means total number of litres saved per day = 500 × 3 = 1500 litres

2) We are told that the quotient is 25 and the divisor is 14. the dividend is 353.

Now, the quotient multiplied by the divisor should give us the dividend. Otherwise, we subtract the value we get from the dividend to get the remainder.

Thus:

Quotient × divisor = 25 × 14 = 350

This is not equal to the dividend.

Thus the remainder is;

353 - 350 = 3

Remainder = 3

3) We are told Isaiah had 63 apples.

If he divided the 63 apples among his 9 friends evenly, it means the number of apples received by each of his friends is gotten by Dividing the total number of apples by the number of friends. This gives; 63/9 = 7 apples

4) We are told Nancy needs 5 oranges to make a glass of orange juice.

Now, Nancy has 250 oranges. This means that the number of glasses of orange juice she can make is; 250/5 = 50 glasses

A triangle has the given vertices. Classify the triangle by its sides. Then determine if it is a right
triangle.
A(-4,4), B(0,1), C(-4,-2)

Answers

Answer:

c

Step-by-step explanation:

im passed the assgnment

parallelogram ABCD has the following vertices A(0,8) B(8,4) C(2,-8) D(-6,-4) is parallelogram ABCD a rectangle, and why

Answers

Answer:

Yes, because BC is perpendicular to AB, and ABCD is a parallelgram.

Yes the parallelogram is a rectangle.

What is distance formula?

The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]

Given:

ABCD is parallelogram, so its opposite sides are equal in length.

i.e., AB= CD and AD= BC

Now,

d=√(8−0)²+(4−8)

d=√(8)²+(−4)²

d=√64+16

d=√80

d=√(−6−2)²+(−4−(−8))²

d=√(−8)²+(4)²

d=√64+16

d=√80

so, AB = CD

Similarly, AD= BC = √180

Hence, a quadrilateral whose opposite side are equal called as rectangle.

Learn more about this concept here:

https://brainly.com/question/15265150

#SPJ2

Help please he sure that you are correct find the coordinates that’s it tysm will mark brainiest

Answers

Answer:

(1, 0)

Step-by-step explanation:

1/3 means rise over run. Up one is Y=0, three over is +1 for the x coordinate.

Samuel orders four DVDs from an online music store. Each DVD costs $9.73. He has a 25% discount code, and sales tax is 7%. Round sales tax amounts to the nearest cent. What is the total cost of his order?

The total cost of Samuel's order is $
.

Answers

Answer:

$20.43

Step-by-step explanation:

What is the relationship between angle 3 and 4?

Answers

Angle 3 and 4 are equal to each other

What is the value of 8 + (-3) + 15 - (-40)

Answers

Answer:

60

Step-by-step explanation:

:)

Answer:

60

Step-by-step explanation:

Tim paid 216.14, tax included, for a stereo system. If he paid $17.39 in sales tax, what percent sales tax did Tim pay?

Answers

Answer:

about 8 percent in sales tax

HELP ASAP 6th grade math

Answers

Answer:

Pretty sure its either 1 or 2

Step-by-step explanation: CUZZZZ IM BUILT DIFFERENTLY

plz answer!!!! Ill give brainly to first RIGHT person!!!!!

Answers

Answer:

D

Step-by-step explanation:

If it was 2/4, percent is 50% greater than 0, but less than 100

2/4 decimal 0.5 between 0 and 1

2x + 4 = -8 X= ? Me need help .

Answers

So you subtract 4 and you get 2x=-12. Then divide by 2 and get x=-6. So -6 is the final. Can I get brainliest also please :)

Answer:

x = -6

Step-by-step explanation:

2x + 4 = -8

Subtract 4 from both sides, -8 - 4 is -12

2x = -12

Divide 2 from both sides

x = -6

Which shows a set of decimals ordered from least to greatest
A. 0.45 , 0.54 , 5.04
B. 0.54 , 0.45 5.04
C. 0.45 5.04 0.54
D. 0.54 , 5.04 0.45

Answers

Answer:

a. 0.45. , 0.54. , 5.04 is the answer

Answer:

a

Step-by-step explanation:

It's a because it starts with 0.45 (the least because if its just 45 than thats less than 54) and the greatest is 5.04 (you can think of them as 45, 54, and 504 but DON'T AVTUALLY DO THAT IN MATH).

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 4 0% of adult Australian sheep dogs weigh 65 pounds or more. A sample of 1 4 adult dogs is studied. What is the standard deviation of the number of dogs who weigh 65 lb or more?

Answers

Answer:

The standard deviation of the number of dogs who weigh 65 lbs or more is 1.83.

Step-by-step explanation:

Let X represent the number of adult Australian sheep dogs weighing 65 pounds or more.

It is provided that the probability of occurrence of X is, p = 0.40.

A sample of n = 14 adult dogs is studied.

Each dog's weight is independent of the others.

The random variable X follows a Binomial distribution.

The standard deviation of a Binomial distribution is:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

Compute the standard deviation of the number of dogs who weigh 65 lbs or more as follows:

[tex]\sigma=\sqrt{np(1-p)}[/tex]

   [tex]=\sqrt{14\times 0.40(1-0.40)}\\\\=\sqrt{3.36}\\\\=1.83303\\\\\approx 1.83[/tex]

Thus, the standard deviation of the number of dogs who weigh 65 lbs or more is 1.83.



PLEASE HELP ASAP WILL GIVE BRAINLISET ANSWER TO FIRST

Answers

Answer: I say 12.5 miles

Step-by-step explanation:

Other Questions
How did muckrakers like Jacob Riis help bring awareness of social problems?Group of answer choicesA: They volunteered to clean up and beautify sections of streets.B: They educated the public about basic sanitation.C: They increased public awareness of social problems.D: They fought against the policies of Progressive politicians. 2000-25x >400 I dont get what to do on that question Read the excerpt from The Scarlet Ibis.There is within me (and with sadness I have watched it in others) a knot of cruelty borne by the stream of love, much as our blood sometimes bears the seed of our destruction, and at times I was mean to Doodle. One day I took him up to the barn loft and showed him his casket, telling him how we all had believed he would die. It was covered with a film of Paris green sprinkled to kill the rats, and screech owls had built a nest inside it.Doodle studied the mahogany box for a long time, then said, Its not mine.It is, I said. And before Ill help you down from the loft, youre going to have to touch it.Which object from the excerpt is used to symbolize death?the casketthe loftthe owlsthe stream A one-year membership to a gym costs $725. The registration fee is $125, and the remaining amount is paid monthly. Define a variable. Then write and solve an equation to find how much new members pay each month. c = cost per month Help me PLEASE! will mark brainliest and also the other thingsTHX :) How were Confucian principles reflected in the Han dynasty? What necessary information is missing from this formula page?W-work F-force x-distanceWork = force(distance) W = Fx a.Formula numbersc.Formula originb.Formula titled.All of thesePlease select the best answer from the choices providedABCD What is the slope of the line passing through the points (2,-5) and (4, 1)?2-4/535/4 Find the percent of increase or decrease, p, from $8 to $13. Round to the nearest percent (ones digit).p= ______% buhruhburhburhburubrhubrhu Find the difference of 4 and 3 3. Converting from the English system to the metric system can be accomplished using _______ Estimate 0.5% of 600, what is the answer? What is 4y+2y simplified by? A chemical equation that shows the formulas of the chemicals involved but not the proportions in which they react is called thea. word equationb. balanced equationc. skeleton equationd. incomplete equation Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?12201510 Can you guys help me with this? The graph of the following system of equations is (5 points)2x + y = 6 6x + 3y = 18 What conditions drove sugar production and slavery in the western hemisphere? What number is 0.867 more than 0.203?