Consider the joint distribution given below, with X values placed in columns, Y values in rows. Y \ X 1 2 3 1 .1 .2 .3 2 .15 .15 0 3 .05 0 .05 Compute the following: (a) P(X = 1 | Y = 1) (b) P(X = 2 | Y = 2) (c) E[X] (d) V ar(Y )

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Marcus and cody both leave the park at the same time, but in opposite directions. if cody travels 6 mph faster than marcus and after 4 hours they are 64 miles apart, how fast is each traveling? solve using rare times time = distance.