P(μ-30

Q: (0.0) (3.6) 1) Estimate the area (6.0) (8,0) [ f(x)dx 0

A:

Q: x²–1 For S dx,x

A: Given,             ∫x2-1xdx

Q: A cubic epline Ss defined by (2(G)% 3(x-1)+24-1) -(x-1) 5.(x) = 4 + 4(x – 2) –(+– 2)² +=(x - 2)* S…

A:

Q: A random variable X has a cdf given by 0, x ) (c) Find P(X X >).

A:

Q: Exercise 2 * The following data can be used to approximate M = (e* + 2x) dx. N, (h) = 1.68394, N ()…

A: Given - M = ∫01(e-x2 +2x)dx , N1(h) = 1.68394 , N1h2 = 1.731370 ,  N1h4 = 1.742984             M =…

Q: 36) The sales decay for a product is given by S = 70000e-0.8× where S is the monthly sales and 36) x…

A: The given formula is: S=70000e-0.8x Where S=monthly sales and x= number of months

Q: - Integrating Factors Found by Inspection 3._ y(x²y² −m)dx+x(x²y² +n)dy=0_whenx = e, y = 1

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Q: QUESTION 5 Differentiate a) (x2+1)ln(x+1) b)) 3 x3e3x

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Q: Suppose X ~ Bernoulli(0.5), Y ~ Bernoulli(0.1), independent. What is Var(X*Y)?

A: We have given that  X ~ Bernoulli(0.5), Y ~ Bernoulli(0.1)The variance of Bernoulli distribution  is…

Q: If n = 18, then the interval of the form (- t(n-1), alpha/2 , t(n-1), alpha/2), that contains 99% of…

A: From the given information, number of observations n = 18. Confidence level  Level of significance

Q: = 9 to x = 15. Find the area of the region under the graph of f(x) = e-*/³ from * = O e (e-1) O e 5…

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Q: Find P(|Y −1/2| < 1/4). (b) Draw a graph of f_Y (y) and shade the area representing the desired…

A: Given the PDF .a) The probability,

Q: 2. Suppose X1, X2. ... X, be a random sample from the following pdf: 1/2 f(=\4, A) = ()"" ezp(-A(z –…

A:

Q: If we approximate e-**dx using Simpson's rule, we get the answer approximately equal Select one: a.…

A: Given: To explain the correct option of the given statement as follows,

Q: integrate f(x) =x^3 * exp(1.33*x) from 1.26 to 2.01 with simpsons 3/8 method use 21 intervals for…

A: Given that, f(x)=x3(e1.33x) , from 1.26 to 2.01 with 21 intervals  To determine The integration…

Q: Sf(x) dx = 1 0.694 (sin(x) dx = 1 0.694 COS TX T C = 2 C 0.694 How? ==→ 1-C05 (0.69471) = 1694 -

A: To determine the value of C .

Q: Let f(n) = 100(2") and g(n) = n!. Prove that f = 0(g). %3D %3D

A: Given: f(n)=100 (2n) g(n)=n! To prove f=O(g)

Q: In a test whereH0:μ1=μ2 vs Ha:μ1≠μ2, tc=2.931, n1 =12 and n2=9. Then which of the following…

A: The degrees of freedom is, df=n1+n2-2=12+9-2=19 The hypothesis is two tailed. The probability of t…

Q: Considering that unusual values are outside the interval μ-2σ, μ+2σ, is 20 females out of 401…

A: The objective of the question is to determine whether the number of females with lung cancer…

Q: According to the information given in Table: Number Interval Age (x), of centres employees (x) (f),…

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Q: Consider the intergral of (2x + 1) dx from 1 to 5 Estimate its value using 4 and 8 subdivisions of…

A: Note:- In given problem, you don't mention Simpson Rule name (Simpson 1/3 Rule or 3/8 Rule). Due to…

Q: Calculate the average power value of X (n) =5cos(n. π /6) + 6 as defined in discrete time??  I would…

A: This question is about application of powers in signals

Q: A random variable follows a distribution of the form f(x)=k(x+2)e^-x over x>orequalto 0 . Determine…

A: The given distribution function is: X~fxfx=kx+2e-x          ,  x&gt;0

Q: An ecologist wishes to mark off circular sampling regions of nearly 10 m in diameter. However the…

A: We want to find the value of K

Q: Take two numbers x and y at random between the interval (0,1) and find the probability that the…

A: GivenX, Y are Uniformly distributed from (0,1).Let variable Z be such that Z=XY.As X, Y are between…

Q: What is the choice of substitution for S e*(1+e*)(1/2) dx?

A: The given integral,        ∫ex1+ex12 dx

Q: How large should n be to guarantee that the Simpsons Rule approximation to -1 [(-2² -5 - 2 12x³…

A: ∫-5-1-x4-12x3-30x2-5x-5dx

Q: n-1 Show that : [(n) = Ln dx ,n > 0 %3D 1 Show that if n> 0, m =,(n – 2) , then : 2m + 2 3* r (n +3)…

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Q: Let fx) = x³. Let X,= 1 %3D Xz = 2. f (x;) Ax= X3=3 %3D X4 = 4 Ax=/

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Q: b] Integrate: 13 0.4

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Q: R13. What is the difference? (9.1 × 105) - (9.3 x 104) Click on image to enlarge if needed O 0.817 x…

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Q: Se tup the sigma expression for the area 2 under the graph of flx) = 1 +2x* from X = 1 to X = 2…

A: According to question we have to set up the sigma expression for the area under the graph for the…

Q: Prove inf { t IneN}=0 4n : nE IN Prove sup

A: We have to prove that the  Infimum { 1/n | n in N } = 0.

Q: Given the following valid joint pdf: (3x^2+2y-1)/56 for 1<x<22<y<6 What is the approximate P(1<x<…

A: Given pdf is:f(x, y) = (3x2+2y-1)/56, 1&lt;x&lt;2, 2&lt;y&lt;6

Q: Question 18 State the trigonometric substitution that you would try first to evaluate the integral…

A: The integral is given by ∫36x2+64dx To evaluate : The trigonometric substitution needed to solve the…

Q: Suppose X- Bernoulli(0.5), Y ~ Bernoulli(0.1), independent. What is Var(X*Y)? (Four decimal places.)

A: We have given that  X~Bernoulli(0.5) and Y~Bernoulli(0.1) Variance of Bernoulli distribution is…

Q: 1. (kv/)→(mvn) 2. (mvn)→(o^p) 3. ki .o

A: We have to construct a formal proof of validity of given premises

Q: A melting point test of n = 10 samples of a binder used on the melting point is normally distributed…

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Q: 2 Construet a tnuth foble for FPv (avs )]^ [-RV(Qvs]] P>A1(eAR)]=> (R=>P)

A: