Suppose that the random variable X has probability mass function given by P(X = 0) = 2 5 ; P(X = k) = 3 4 k 1 5 , k = 1, 2, . . . (a) Compute the moment generating function MX(t) of X. Be careful about the possibility that MX(t) might be infinite, (b) Use the moment generating function to compute the mean and the variance of X

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

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.

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what is the question?

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answer: rolling a number cube and flipping a coin.

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