Given the contingency table shown here, find P(V | W). $\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\quad\text { Cell Phone Service Provider }\
\begin{array}{|c|c|c|c|c|}
\hline County&\text { Sprint }(S) &\text { AT\&T }(A)& \text { Verizon }(I)& \text { Row Total }\
\hline Macomb (M) &17 & 25 & 8 & 50 \
\hline Oakland (O) &19 & 38 & 13 & 70 \
\hline Wayne (W) &24 & 37 & 19 & 80 \
\hline Col Total &60 & 100 & 40 & 200 \
\hline
\end{array}
\end{array}$
A).4000
B).0950
C).2375
D).5875

Question

Given the contingency table shown here, find P(V | W). $\begin{array}{l}
\quad\quad\quad\quad\quad\quad\quad\quad\text { Cell Phone Service Provider }\
\begin{array}{|c|c|c|c|c|}
\hline County&\text { Sprint }(S) &\text { AT\&T }(A)& \text { Verizon }(I)& \text { Row Total }\
\hline Macomb (M) &17 & 25 & 8 & 50 \
\hline  Oakland (O) &19 & 38 & 13 & 70 \
\hline Wayne (W) &24 & 37 & 19 & 80 \
\hline Col Total &60 & 100 & 40 & 200 \
\hline
\end{array}
\end{array}$
A).4000
B).0950
C).2375
D).5875

Quizplus · Accepted Answer

P(V | W) = P(V and W) / P(W), where P(V and W) is the probability of being in Wayne county and having Verizon, and P(W) is the probability of being in Wayne county. From the table, there are 19 people in Wayne with Verizon out of 80 people in Wayne, so P(V | W) = 19/80 = 0.2375.

Given the Contingency Table Shown Here, Find P(V | W)