For n= 1,2,3,...,let Xn be a random variable with mean a and variance c(2n^2+ 1)/(n^3+ 3n) where a and c are constant, real numbers. Show that Xn converges in probability to a. Also, what does Xn converge in distribution to?

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.

When you dilate a figure with a scale factor of 1/2, what will the dilated figure look like?                                                                                           a: the dilated figure will have side lengths that are half the length of the original side lengths.                                                                          b: the angles in the dilated figure will be half the measure of the original figure.                                                                                c: the dilated figure will have side lengths twice the length of the original.

Math ! will give branliest at a car and truck dealership, the probability that a vehicle is white is 0.25 . the probability that it is a pick up truck is 0.15 . the or obability that it is a white pick up truck is 0.06 . what is the probability that the vehicle is white, given that the vehicle is a pickup truck . round your answer to two decimal places .