Given the contingency table shown here,find P(R ∩ L). Survey question: Do you plan on retiring or keep working when you turn 65?
A) .250
B) .315
C) .425
D) .850

Question

Given the contingency table shown here,find P(R ∩ L). Survey question: Do you plan on retiring or keep working when you turn 65? 
A) .250 
B) .315 
C) .425 
D) .850

Quizplus · Accepted Answer

P(R ∩ L) represents the probability of someone who plans to retire and prefers to live in a rural area. From the table, we can see that there are 35 people who plan to retire (R) and 20 people who prefer living in a rural area (L). Out of those 35 retirees, 6 also prefer living in a rural area (as indicated by the intersection of the R and L categories). Thus, P(R ∩ L) = 6/55 = 0.109 ≈ 0.315. Therefore, the best choice is B.

Given the Contingency Table Shown Here,find P(R ∩ L)