You work at rob’s pizza shop. you have the following informationabout the 7 pizza’s in the oven: 3 of the 7 have thick crust, and ofthese 1 has only sausage and 2 have only mushrooms; the remaining 4pizzas have regular crust, and of these 2 have only sausage and 2 haveonly mushrooms. choose a pizza at random from the oven.(a) are the events{getting a thick crust pizza}and{getting a pizza with mushrooms}independent? justify your answer with a computation.

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