Question 1203802
<pre>
P(B1,H,H,H) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 3
P(B1,H,H,T) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 2
P(B1,H,T,H) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 2
P(B1,H,T,T) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 1
P(B1,T,H,H) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 2
P(B1,T,H,T) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 1
P(B1,T,T,H) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 1
P(B1,T,T,T) = (1/2)(1/2)(1/2)(1/2) = 1/16, n(H) = 0
P(B2,H,H,H) = (1/2)( 1 )( 1 )( 1 ) =  1/2, n(H) = 3

X(0) = P(0) = 1/16     = 1/16
X(1) = P(1) = 3/16     = 3/16
X(2) = P(2) = 3/16     = 3/16
X(3) = P(3) = 1/16+1/2 = 9/16 
--------------------------
           Sum = 16/16 = 1

n |  X 
0 | 1/16
1 | 3/16
2 | 3/16
3 | 9/16


{{{drawing(300,3300/9,-1,8,-1,10,

rectangle(0,0,1,1),

rectangle(2,0,3,3),

rectangle(4,0,5,3),

rectangle(6,0,7,9),
locate(-.5,8.5,matrix(1,3,pdf,discrete,"P(X=0,...,3)")),  
locate(0.4,0,0),locate(2.4,0,1),locate(4.4,0,2),locate(6.4,0,3),

locate(0.3,2.1,1/16),locate(2.3,4.1,3/16),locate(4.3,4.1,3/16),locate(6.3,10.1,9/16)

  )}}}     {{{drawing(300,17600/27,-1,8,-1,17,

rectangle(0,0,1,1),

rectangle(2,0,3,4),

rectangle(4,0,5,7),

rectangle(6,0,7,16),
locate(-.9,12.5,matrix(1,5,cdf,discrete,"P(X",""<="","0,...,3)")),  
locate(0.4,0,0),locate(2.4,0,1),locate(4.4,0,2),locate(6.4,0,3),

locate(0.3,2.05,1/16),locate(2.3,5.05,4/16),locate(4.3,8.1,7/16),locate(6.3,17.1,16/16)

  )}}}

Edwin</pre>