Question 1205234
<pre>
You'd better check all the arithmetic here for I've been known to
accidentally punch the wrong buttons on a calculator.

{{{drawing(7100/11,500,-10,68,-55,55,
locate(-10,1.5,"19,053,000"), locate(1.5,13,MALE),locate(1,-14,FEMALE),
line(0,0,11,23),line(0,0,11,-25), locate(11.3,-23,"10,980,000"),
 locate(11.3,25,"8,073,000"), line(22,23,32,35),line(22,23,32,11),
 line(22,-25,32,-37),line(22,-25,32,-13),
locate(32.3,37,"4,892,238"),locate(32.3,13,"3,180,762"),
locate(32.3,-11,"7,158,960"),locate(32.3,-35,"3,821,040"),
line(41,35,50,41),line(41,35,50,29),
line(41,-13,50,-7),line(41,-13,50,-19),
locate(50.3,43,"2,191,722.624"),locate(50.3,31,"2,700,515.376"),
locate(50.3,-5,"3,608,115.84"),locate(50.3,-17,"3,550,844.16"),
locate(24.05,32.95,"AID"),locate(23,17,"NoAID."),
locate(24,33-48,"AID"),locate(23,17-48,"NoAID"), 
locate(44,41.8,FED),locate(42,32.2,NoFED),
locate(44,41.8-48,FED),locate(42,32.2-48,NoFED)


  )}}}</pre>a. A male student without aid<pre>
{{{P(matrix(1,4,MALE,and,NO,AID^""))}}}{{{""=""}}}{{{N(matrix(1,4,MALE,and,NO,AID^""))/N(STUDENTS^"")}}}{{{""=""}}}{{{N(matrix(1,4,MALE,and,NO,AID^""))/(N(MALES^"")+N(FEMALES^""))}}}{{{""=""}}}
{{{3180762/(8073000+10980000)}}}{{{""=""}}}{{{3180762/19053000}}}{{{""=""}}}{{{0.1669428436}}}
</pre>b. A male student, given that the student has aid<pre>
{{{"P(MALE|AID)"}}}{{{""=""}}}{{{N(matrix(1,3,MALE,and,AID^""))/N("AID"^"")}}}{{{""=""}}}{{{N(matrix(1,3,MALE,and,AID^""))/(N(matrix(1,3,MALE,and,AID^""))+N(matrix(1,3,FEMALE,and,AID^"")))}}}{{{""=""}}}
{{{4892238/(4892238+7158960)}}}{{{""=""}}}{{{4892238/12051198}}}{{{""=""}}}{{{0.4059544951}}}</pre>c. A female student or a student who receives federal aid<pre>
{{{P(matrix(1,3,FEMALE,or,FED^""))}}}{{{""=""}}}{{{P(FEMALE^"")+P(FED^"")-P(matrix(1,3,FEMALE,and,FED^""))}}}{{{""=""}}}

{{{P(matrix(1,3,FEMALE,or,FED^""))}}}{{{""=""}}}{{{(N(FEMALE^"")+N(FED^"")-N(matrix(1,3,FEMALE,and,FED^"")))/N(STUDENTS^"")}}}

{{{N(FED^"")}}}{{{""=""}}}{{{N(matrix(1,3,MALE,and,FED^""))+N(matrix(1,3,FEMALE,and,FED^""))}}}{{{""=""}}}{{{2191722.624+3608115.84}}}{{{""=""}}}{{{5799838.464}}}

{{{P(matrix(1,3,FEMALE,or,FED^""))}}}{{{""=""}}}{{{(N(FEMALE^"")+N(FED^"")-N(matrix(1,3,FEMALE,and,FED^"")))/N(STUDENTS^"")}}}{{{""=""}}}{{{(10980000+5799838.464-3608115.84)/19053000}}}{{{""=""}}}
{{{13171722.62/19053000}}}{{{""=""}}}{{{0.6913291398}}}

Edwin</pre>