Answer:
b. 10.4
c. 26.9
Step-by-step explanation:
Let the universal set U = 100% which is the total no of people in the American community
Let A = 14.6% which is the total no of people living below poverty line
Let B = 20.7% which is the total no of people speaking foreign Language
C = 4.2% no of people who both speak foreign language and live below poverty line
X = no of people who neither live below poverty line nor speak foreign language
P (A) = 14.6%
P (B) = 20.7%
P (C) = P (A ∩ B) = 4.2%
P (A – C) = P (A ∩ U) = 14.6 – 4.2 = 10.4%
P (B – C) = P (B ∩ U) = 20.7 – 4.2 = 16.5%
P (X) = P (A ᴜ B) c =100 – (10.4 + 4.2 + 16.5) = 68.9%
a. The venn diagram is as shown above
b. Percent of Americans who live below poverty line and Speak English at home(minus foreign lang speakers living below poverty line) that is A only
= A – C
= 14.6 – 4.2
= 10.4%
c. Percentage of Americans Living below poverty line or Speaking foreign language
= A only + B only
A only = A – C ( People living below poverty line only)
= 14.6 -4.2
= 10.4%
B only = B – C ( people speaking foreign languages only)
= 20.7 – 4.2
= 16.5%
Hence
A only + B only = 10.4 + 16.5 = 26.9%
