Given the contingency table shown here,if a randomly chosen student attends a religious school,what is the probability the location is rural?
A)0.142
B)0.162
C)0.167
D)0.333

Question

Given the contingency table shown here,if a randomly chosen student attends a religious school,what is the probability the location is rural? 
A)0.142 
B)0.162 
C)0.167 
D)0.333

Quizplus · Accepted Answer

To find the probability that a randomly chosen student attends a religious school and the location is rural, we need to use the formula:

P(Rural and Religious) = P(Rural | Religious) * P(Religious)

From the given contingency table, we can see that the number of students who attend a religious school and live in a rural area is 25. The total number of students who attend a religious school is 150. Therefore:

P(Rural | Religious) = 25/150 = 0.167

Hence, the correct choice is C) 0.167.

Given the Contingency Table Shown Here,if a Randomly Chosen Student