Belleville high school offers classes on three different
foreign languages. let a be the event that a student is in
eleventh grade, and let b be the event that a student is
enrolled in french class.
which statement is true about whether a and b are
independent events?
tenth grade
eleventh grade
twelfth grade
total
spanish
107
56
89
252
french german total
122 6
235
68 14
138
82
8
179
272 28552
a and b are independent events because p(aib)
= p(a).
a and b are independent events because p(aib)
= p(b).
a and b are not independent events because p(aib)
a and b are not independent events because p(a i b)
+ p(b).

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel