Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

Answers

Answer 1

Complete Question

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 9-year period. Assume each year is independent.

Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

Answer:

The probability is  [tex]P(X > 2) = 0.0007 [/tex]

Step-by-step explanation:

From the question we are told that

The  probability of an IRS audit for a tax return with over $25,000 in income is p= 0.02

The sample size  n  =  9

Generally the distribution of IRS audit for a tax return follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

 

Generally the probability that a person is not audited at all is mathematically

     [tex]P(X = 0) =  ^{9}C_0 *  (0.02)^0 *  (1- 0.02 )^{9-0}[/tex]

      [tex]P(X = 0) =  ^{9}C_0 *  (0.02)^0 *  (0.98 )^{9-0}[/tex]

       [tex]P(X = 0) =  0.8337[/tex]

Generally the probability that a person is  audited once  is mathematically

           [tex]P(X = 1) =  ^{9}C_1 *  (0.02)^1 *  (1- 0.02 )^{9-1}[/tex]

           [tex]P(X = 1) =  9*  (0.02)^1 *  (0.98 )^{8}[/tex]

            [tex]P(X = 1) =  0.1531[/tex]

Generally the probability that a person is  audited twice is mathematically represented

           [tex]P(X = 2) =  ^{9}C_2 *  (0.02)^2 *  (1- 0.02 )^{9-2}[/tex]

           [tex]P(X = 2) =  36 *  (0.02)^2 *  (0.98 )^{7}[/tex]

            [tex]P(X = 2) =  0.0125 [/tex]

Generally the probability that a person is audited more than twice is mathematically represented

     [tex]P(X > 2) =  1 - [P(X = 0 ) + P(X = 1 )+ P(X =2)] [/tex]

=>    [tex]P(X > 2) =  1 - [0.8337 + 0.1531+0.0125 ] [/tex]

=>    [tex]P(X > 2) = 0.0007 [/tex]


Related Questions

square root of 1, 1/3, 2.5, square root of 2
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2.5
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Answers

Answer:

least to greatest: 1/3, sqrt 1, sqrt 2, 2.5

Step-by-step explanation:

sqrt 1 = 1

sqrt 2 = 1.41421356237 = 1.4

1/3 = 0.33

2.5 = 2.5

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Answers

Answer:

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Step-by-step explanation:

attached below is the image of the Analysis of variance using Minitab software

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The price of a necklace was increased by 10% to £121.
What was the price before the increase?

Answers

Answer:

108.90

Step-by-step explanation:

To find its price before the increase you say:

10% of 121 then the answer you subtract it from 121:

10 / 100 * 121 = 12.10

Then subtract 12.10 from 121

121-12.10= 108.90

So the price before the increase was 108.90

HOPE IT HELPED

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Answers

Answer:

7

Step-by-step explanation:

It's seven because If you take 9 you just have to find the number that adds up to sixteen so in that case 6+9=16

Hey :)

h + 9 =16

Subtract 9 from both sides

h= 16−9

Subtract 9 from 16 to get 7

h=7

Hope this helps :)

AYUDAAAAAAAAA PORFA NO LE ENTIENDO

Answers

a) 8
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c) verde
d) amarillo
e) amarillo 10, rojo 20, verde 30, azul 20
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Answers

It’s 90-37 degrees so the answer would be 53 degrees

Find the product. Tell which strategy you used.
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2.

Answers

Answer:

The product is 700

Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

See photo below

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

see attached

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Answer:

Step-by-step explanation:

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Answer:

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Answer:

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rounded: 0.083repeating

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Answers

Answer:

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Step-by-step explanation:

15 x 2 =30 - 17 = 13

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Answers

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Answers

Answer:

X = 4x-18

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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%

Answers

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...

Example

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Answer 23% of the grid is shaded.

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Answer:

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Step-by-step explanation:

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Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2


Answers

Answer:

-(x(2x squared-8x+3))/(x-1)(x+3)

Step-by-step explanation:

This can't be simplified very far, but the answer is above. Hope it helps!

The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

What is Simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,

WE need to simplify the given;

[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]

3x² + 8x - 3 = (3x - 1)(x + 3)

x² - 9 = (x - 3)(x + 3)

Then;

[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]

Therefore,

[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]

[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]

[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]

[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]

Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).

Learn more about simplification;

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PLEASE HELP!! Which equations represent a proportional relationship? If yes, give the constant of Proportionality.

Answers

Answer:

The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.

Step-by-step explanation:

Tell whether -2 is a solution of the inequality n-5<8

Answers

Answer:

-2 is a solution

Step-by-step explanation:

-2-5<8

-7<8

Answer:

-2 is a solution.

Step-by-step explanation:

negative 2 minus 5 is less than 8

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Answers

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Step-by-step explanation:i just took the practice on edge 2020

Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
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PLEASE HELP !!!

Answers

[1]   4x - 2y + 3z = 1

[2]   x + 3y - 4z = -7

[3]   3x + y + 2z = 5

Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :

-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1

-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1

[4]   -14y + 19z = 29

-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5

-3x - 9y + 12z + 3x + y + 2z = 21 + 5

-8y + 14z = 26

[5]   -4y + 7z = 13

Add 2 [4] to -7 [5] to eliminate y :

2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)

-28y + 38z + 28y - 49z = 58 - 91

-11z = -33

z = 3

Plug this into either [4] or [5] to solve for y :

-4y + 7 (3) = 13

-4y + 21 = 13

-4y = -8

y = 2

Plug both of these solutions into either of [1], [2], or [3] to solve for x :

x + 3 (2) - 4 (3) = -7

x + 6 - 12 = -7

x = -1

18 ft = 6 yd
O True
O False
Help

Answers

Step-by-step explanation:

there is 3 feet in a yard

divide by 3

18 ÷ 3 = 6

true

it is true. because 18 ft equals 6 yards. hahaha ima just type because it needs to be 20 characters but yeah.

If I had 50 magmortars and I got one shiny magmortar, how much would i have now???

Answers

Answer:

51 Magmortars!!!

Step-by-step explanation:

Hope this helps!!!

Answer:

you have 51

Step-by-step explanation:

if you have 50 and you get 1 more then your adding so you would do this

50+1=51

Find the value of x.

Answers

Answer:

x=16

Step-by-step explanation:

50+40=90

40-8=32

32/2=16

x=16

Answer:

x=16

Step-by-step explanation:

since it is a right triangle it is 90 degrees so 90-50-40

than do 40=8+2x and solve for x which is 16 :)

How do you do this question?

Answers

Answer:

(-11 + √165) / 22

Step-by-step explanation:

∑₂°° (1 + c)⁻ⁿ

= ∑₂°° (1 / (1 + c))ⁿ

= ∑₁°° (1 / (1 + c))ⁿ⁺¹

This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).

The sum of an infinite geometric series is:

S = a₁ / (1 − r)

Therefore:

11 = 1/(1+c)² / (1 − 1/(1+c))

11 = 1 / ((1+c)² − (1+c))

11 ((1+c)² − (1+c)) = 1

11 (1 + 2c + c² − 1 − c) = 1

11 (c + c²) = 1

11c² + 11c − 1 = 0

c = [ -11 ± √(11² − 4(11)(-1)) ] / 22

c = (-11 ± √165) / 22

c cannot be between -2 and 0, so c = (-11 + √165) / 22.

A pole is 35 3/4 feet long. If 3/8 of the pole is underground,
then how many feet of the pole are above ground?

Answers

Answer: 22.34375

Step-by-step explanation:

35 and 3/4 is equal to 35.75

Therefore,

35.75 x (3/8) is equal to 13.40625 underground.

So 35.75 - 13.40625 = 22.34375 feet above ground

4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?

Answers

Answer:

60

Step-by-step explanation:

Taking the LCM of 3, 4, 5 and 6 leaves us with;

LCM = 1 * 2 * 3 * 2 * 5

       = 60

Since Dividing 60 by 7 leaves quotient 8 and remainder 4,

We know that we've found the number we're looking for.

What is (2n-9)-5(-2.4n+4)?

Answers

I think the answer is 14n-29
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