Question

Probability Help!!!

A survey of 1000 students in a local high school revealed the following information:

450 students are male
800 plan to attend college
300 are immigrants
350 are males who plan to attend college
250 are immigrants who plan to attend college
120 are immigrant males
100 are male immigrants who plan to attend college

How many students are male, non-immigrants, who do not plan to attend college?

Answer 1

Students:
(1) male,
(2) non-immigrants,
(3) do not plan to attend college

`450 students are male`
`800 plan to attend college` X (they plan to attend college)
`300 are immigrants` X (they are immigrants)
`350 are males who plan to attend college` X (they plan to attend college)
`250 are immigrants who plan to attend college` X (they are immigrants)
`120 are immigrant males` X (they are immigrants)
`100 are male immigrants who plan to attend college.` X (they plan to attend college)

Answer 2

there is only one category that is NOT EXCLUDED.....

So can you answer your question now?

Answer 3

Can I make a Venn Diagram with this and work backwards. Using those three

Answer 4

okay no. at least i don't see how...
so I need to find P(M and I' and C')
But I am not clear how to come up with this formula

Answer 5

nevermind i figured it out... if anyone knows the formula though without working backwards that would be appreciated

Answer 6

what did you get ? Because I got 80...just wondering....and I got 70 who didn't fit in the criteria.