Three fair coins are flipped simultaneously. All the coins that come up tails are flipped once more. Let X denote the number of coins that come up heads on the first toss, and let Y represent the number of re-tossed coins that come up heads on the second flipping. (a) 0.5 pt - Find the admissible values for X, and find the possible values that Y can take conditioned on X. (b) 0.5 pt - Find the marginal PMF and the mean of X. (c) 1 pt - Find the joint PMF of X and Y. (d) 1 pt - Calculate the expected value of X+Y (possibly using indicator functions). (e) 1 pt - Derive a formula for E[Y|X] and use it to compute E[E[X +Y|X]]. (f) 1 pt - Find the PMF of U = X+Y and compute E[U].

answer: haha (: i’ll go see what it is

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

for me what is finding a good play list and going out because i can not lay down and relax so i usually go to a coffee shop. i also use the gum trick and this actually works. another advice is highlighting subjects it really does me remember certain things

step-by-step explanation:

a

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