Question

Extra question: Toss a coin three times. Let X denote the number of heads in the results. Let Y denote the absolute value of the difference between the number of heads and the number of tails. What is the frequency function of (X,Y)?

Answer 1

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DATE: S PAGE NO: We tossed in coin 2 times. Let sample space be denoted by s!! S = { HHH, HHT, H7H, H7T, THH, 7147, 77H, 771} where H: Heads ; 7: Tails. Now, Y X - Number of heads Therefore x can take values 0, 1, 2, a Difference (absolute) blue heade & tails. Therefore, y can take values 1, 3. Hence, the frequency function (X,Y) is (x,y) is given was ху 1 3. Total o O 7 3 oo له ده 3 2 3 Total 6 118 3) 8 fixy) as - ; x = 0, y =1 X=0, Y=3 7 X=1, y =) ; X = 1, Y=3 4 X=2; y=1 Y = 2:4=3 '; X = 3: Y = 1 X=3:4=2 3/8 O 0 1/8 Please LIKE'. Thanks