Math Answers

Assume that family incomes are normally distributed with mean P30,000 and standard deviation of P10,000. If the poverty level is P10,000, find the percentage of the population that lies in poverty.

Find the curvature, the radius and the center of curvature at a point.

r=1+ cos theta ,theta=π/2

Apply separation of variable to solve

x²u_xy+9y²u=0

Let T: R^3 to R^3 be the linear transformation defined by

T(x,y,z)= (-x,x-y, 3x+2y+z)

Check whether T satifies the polynomial (x-1)(x+1)^2. Also the find of minimal polynomial of T.

Consider estimating the mean of a variable drawn from a population with mean u and standard deviation o, using the following formulae: Ĥ1 = x1. X + x2 2 X1 + 2x2 X +x2 3 is = %3D Assume that in all cases the individual estimates x, are independent of each other. Determine the bias, variance, and mean square error for each of the estimators. Which ones are biased?

Identify and state one situation, opportunity, challenge being faced by decision makers in an organisation or sector of your interest.

Note.

Problem should be real or hypothetical one relevant to current challenges being faced by decision makers in an organisation or sector

Using Residue theorem evaluate ∫0^2π dθ/2+sinθ ?

Find all possible Taylor's series and Laurent series expansions of f(z)= (2z - 3)/((z - 2)(z - 1)) about z=0?

Let Y be the random variable denoting the sum of the points on the upturned faces of the dice when a pair of dice is rolled. Find the probability that the sum of points of the upturned faces is 5

Find the Bilinear transformation which maps the points z=0,1, infinity onto the points w=0,i,2i