Given any random variable, X, with any probability distribution (discrete or continuous), and with meanu and standard deviation o, as the sample size n goes to infinity: (circle the best completion of this sentence) O X approaches the log normal distribution. ச OX becomes normally distributed with mean and standard deviation - u μ estimates X and o estimates s. X becomes log normally distributed with mean and standard deviation

Q: Prove that a non-empty subset U of R" is a subspace of R" if and only if U = Span(S) for some…

A: Question: Prove that a non-empty subset U of ℝn is a subspace of ℝn if and only if U=SpanS for some…

Q: 2. A sample of size n is taken from the ponulation which has an unknown distribution with mean and…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Find the Jacobian of the transformation. x = 5es + t, y = 8es - t -40e²s a(x, y) a(s, t) = X

A:

Q: Consider F and C below. F(x, y) = x² i + y² j C is the arc of the parabola y = (a) Find a function f…

A: Consider F and C Fx,y=x2 i+y2 j C is the arc of the parabola y2=4x from -1,4 to 1,4

Q: Complete with using the diagram for APOR and ALMK. 2. PO = LM, OR MK, KL 20, RP = 14, %3D mZM m20…

A:

Q: 5.2. Give the estimated logistic regression decided upon and give the odds ratios for regression…

A: Given is the summary of logistic regression to predict the effectiveness of treatment (Y) based on…

Q: Consider F and C below. F(x, y) = 1 + x² 49π 4 i + 2y arctan(x) j C: r(t) = t² i +7tj, 0 ≤t≤ 1 (a)…

A:

Q: Consider the following function. T: R² R³, T(x, y) = (√x, 3xy, √y) Find the following images for…

A: Let us consider the transformation T:U→V defined as T(u)=v  The transformation is linear…

Q: Find a parametric representation for the surface. The part of the plane z = x + 2 that lies inside…

A: Given: The part of the plane  z = x + 2  That lies inside the cylinder,  x2 + y2 = 9.

Q: Find the Jacobian of the transformation. x = 2es+t, y = 6es - t a(x, y) a(s, t)

A: The Jacobian transformation

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A: Sol:- Let A be a square matrix,  η a vector and λ a scalar that satisfy Aη=λη, then λ is called the…

Q: A population of values has a normal distribution with μ=59.2 and σ=39.1. You intend to draw a random…

A: Solution: Let X be the value. From the given information, X follows normal distribution with mean…

Q: Find the average value of f on [0, 8]. YA 1 0 2 4 6 X

A: Given :- Find the average value of f on [0,8].

Q: Eva te the st face integral. 16205 ² z dS S is the surface x = y + 2z², 0 ≤ y ≤ 1,0 ≤ z ≤ 3

A:

Q: (a) P(Z 1.45)= (d) P(Z > 2.15)=

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: x² 12 2. 5. Co

A: Question: Values of x are given, we have to calculate the values of x2+2.

Q: - 1 £ 15 s² +64

A: Here given Laplace function is 15s2+64

Q: Show that any integer of the form 6k + 5 is also of the form 3j + 2, but not conversely.

A: 2. We can write 6k+5 = 6k+3+2=3(2k+1)+2 lets write 2k+1=j hence 6k+5=3j+2

Q: Evaluate the iterated integral. 1-z² 4 [²6² 0 0 28zey dx dz dy √₁-₂² (14e²-14) 2 V1- Z ×

A: In triple integrals if the limit of the integral are not related then we treat all else variables as…

Q: Use the function to find the image of v and the preimage of w. T(V₁ V₂ V3) = (4V₂ - V₁₁ 4v₁ + 5V₂),…

A: Let us consider a transformation T:R3→R2 defined as T(v)=w Here T(v) is the image of v v is the…