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]


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Step-by-step explanation:

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Answer/Step-by-step explanation:

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A student uses the following steps to prove the sine sum identity. The proof is incorrect. Which steps is incorrect

Answers

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Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.

The steps used to solve the trigonometric identity are :

Step 1 :  sin(x+y)

Step 2: cos ((π/2) - (x+y))

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The midpoint of a line segment is (−3,2). One endpoint of the line segment is (4,−7).

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Answers

Answer:

The other endpoint is  (9, −6)

Step-by-step explanation:

(x1,y1)=(3,2) and M=(6,−2)

x1+x22=x     and     y1+y22=y

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Answers

Answer:

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Step-by-step explanation:

Skyler solved an equation incorrectly, as shown below:

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Which statement best explains why Step 2 is incorrect in Skyler's solution?

Answers

Answer:

Step 2 is incorrect.

Step-by-step explanation:

It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.

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Answers

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Answer:

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Answers

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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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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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Step-by-step explanation:

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9. A candle has an initial height of12 inches. Sara lights the candle and it begins to melt at an average rate of 0.5
inch per hour. Which function can be used to find the height of the candle inches after x hours?
A) H(X) = 0.5(x +12) B) H(x) = -0.5(x +12) C)H(x) = 12 +0.5x
+
D) H(X) = 12 -0.5x
1 Pt
А.
B
D
E

Answers

Answer:

D

Step-by-step explanation:

h(x)=12-0.5x

x=hour

can someone please help me

Answers

64 because 4 turns into -8 -8 turns into 16 and 16 turns into -32 so it must be 64

64 is the right answer


Please help,
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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Figure 2 as it is the same as original but bigger

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a, c, b

Step-by-step explanation:

ITS CORRECT TRUST MEEE

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14

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Answer:

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Step-by-step explanation:

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