The distribution of the leading digits of company accounting figures often follows what is known as "Benford's Law". Benford's Law states that the distribution of leading digits is not uniform, but rather follows the following probability distribution: P(d) = log10 (1 +) for d = 1, 2,...,9. A random sample was taken of a company's accounting figures, and the distribution of the observed leading digits is given in the following code: d = 1:9 counts = c(785, 468, 377, 247, 229, 177, 156, 128, 133) dat = data.frame(d, counts) Perform an appropriate test to check whether or not this random sample of leading digits follows Benford's law. Report the test statistic you find in the answer box below (to 2 decimal places).

Q: 8. 8. 3/ 2.

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Q: 8.20+2

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Q: Evaluate. 5(41)

A: We need to evaluate the value of 5(4!)

Q: 12 5(.8)0

A: We can solve given problem by using G.P series.

Q: 12 X-

A: The solution is given below

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: We need to find lower and upper estimate.

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

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Q: (5V3)2

A: Explanation of the solution is given below...

Q: N. 15 12

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Q: 1. 2. 3.

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Q: 19 14.3

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Q: 619 d. 4 10

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Q: 6.3 3

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Q: 9.2 2 15 5 3 16

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Q: 5. 110 (x + 12)°

A: given alternate exterior angles are equal.

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 6   9,171.6

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Q: -3 -10

A: The given equation is:  -3   2÷-10    7

Q: d 6

A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: Diagonalize the following matrix.

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Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 6. 3 (2s+5)³

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Q: 6. 8.

A: Pythagorean Theorem:                  Pythagoras theorem states that  "In right angled triangle ,…

Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: 6 8 27

A: If a line parallel to a side of a triangle intersect the other sides in two distinct points, then…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: - 2 4. - 3 V22 4 2/7 41M

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Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: 8. 11

A: Given perpendicular side to given angle is 11 and adjacent side of given angle is 8. We know that,…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.