one hundred sixty people were surveyed and asked if they believed in ufos, ghosts, and bigfoot.
42 believed in ufos 45 believed in ghosts
21 believed in bigfoot 11 believed in ufos and ghosts
6 believed in ghosts and bigfoot 4 believed in ufos and bigfoot
2 believed in all three
how many people surveyed believed in at least one of these things?
show your work by creating and sharing a appropriate venn diagram.
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Number of people surveyed believed in at least one of these things = 83

Step-by-step explanation:

Given,

Total number of people, n(T) = 160

number of people believe in UFOs, n(U) = 42

number of people believe in ghost, n(G) = 45

number of people believe in Bigfoot, n(B) =21

number of people believe in UFOs and ghost, n(U ∩ G) = 11

number of people believe in Bigfoot and ghost, n(B ∩ G) = 6

number of people believe in UFOs and Bigfoot, n(U ∩ B) = 4

number of people who believe in all, n(U ∩ G ∩ B) = 2

We have asked to draw the Venn diagram and to calculate the number people surveyed believed in at least one of these things .

So, according to Venn diagram,

Number of people surveyed believed in at least one of these things = 25+11+4+2+26+9+6 = 83

Number of people surveyed believed in at least one of these things = 83