Q. 1 Deal two cards from a well-shuffled deck of cards. Let the random variable X be the number of aces dealt and let the random variable Y be the number of face cards dealt. (i) Find and sketch fx,y (x,y).

In a computer game, different units are created randomly with different levels of range and Aggression according to the table below. Range is how far the unit can attack without moving, and Aggression is used to determine how far a unit will move to attack without direct command.       Range   Total     1 2 4     5 0.2 0.15 0 0.35 Aggression 3 0.1 0.15 0.1 0.35   0 0 0.05 0.25 0.3 Total   0.3 0.35 0.35 1 Calculate the Expected value of aggression for the units created. (E(Aggression))

There are 5 black, 3 white, and 4 yellow balls in a box (THE SAME BOX as seen in the previous question). Four balls are randomly selected without replacement. Let Y be the number of yellow balls selected. Find P[Y =2]. 5 3 в w О а. About 21% O b. About 25% С. About 34%. d. About 9.3% e. About 13%

Number 19

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