Evaluate Sigma (k=0 to K=infinity) (1/4)k

Q: Given X~ N(20,16), find c. P( 19 < X<23) (4 decimal place)

A: X~N(20,16) Mean(μ)=20 Variance(σ2)=16 standard deviation(σ)=16=4

Q: Prove that if n is a +ive integer,

A: Given that, M xddxnf(x);p = (-1)npnF(p) We can prove this by mathematical induction.

Q: Evaluate Sx (x – 1) (x – 2) dx |

A:

Q: Q2) Use rounding to 6 digits and compute each of the following: a) P(0.01), where P(x) = (e*…

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Find zo such that P(z>20 ) =0. 1234

A: We have given a standard normal distribution. We have to find the z-score corresponding to the…

Q: X 0 1 2 3 P(X = x) |0.512 0.384 0.096 0.008 Find P(more than 2 identifications are incorrect).

A: From the provided information, x 0 1 2 3 P (X = x) 0.512 0.384 0.096 0.008…

Q: Find the mean value of y = x² - 7 over the range -2 < x < 2, and enter your answer as a decimal in…

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Q: anel g(x)= |- Vã , Fino × =(Xつ f え a- fog and gof b- thei range and domain of fo9 3 9of.

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Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: Many animal populations, such as that of rabbits, fluctuate over ten-year cycles. Suppose that the…

A: Given  N(t) = 1000cos(πt5) + 4000

Q: how to show the following coefficient is less than 1

A: Given information: An expression involving gamma function is given.

Q: Z = (X-H0)/ SE. This is the formula for the Z-score descriptive base-rate inferential

A: Z-score for the sample mean is

Q: Which of the following is the % error in computing the root of f(x) using initial root .x, = 21.32…

A: Given :initial root x1=21.32Second root x2=19.49

Q: 2n2 Using the mean-value theorems, show that in sin z w/6

A:

Q: Given: X 37 30 2 75 14 71 72 8 82 8 35 85 82

A: Given data is X=37,30,2,75,14,71,72,8,82,8,35,85,82N=13

Q: If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)? You can use Excel. Enter your answer as a decimal…

A: We have to find given probability

Q: Let X be the number of hours spent studying on any given day. Which of the following is NOT true? A.…

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Q: (b) Pr[X > 0.6n] < 0.85. Let X be the number of HEADS after n fair coin tosses. Show that

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Q: let XnN(20, 0136) iF P(X<M) = 0.05 then the value of mis

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Q: None

A: The question asks for the missing values X and Y, which represent the profit for Q3 and Q2 of 2002…

Q: What is the value of E(X – 1)? for the following scores? Scores: 2,4,3,4

A: We have given that,  We will find the value of Σ(X−1)^2 for the following scores?​ Scores: 2,4,3,4

Q: Determine if the columns of the matrix A = Yes O No -2 1 40-4 are linearly independent. 24 6

A:

Q: ind the chi-square value for n=25 and

A: Given that n=25 and α=0.05. df=n-1=25-1=24

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.