Question

# begin{array}{|c|c|c|c|}hline& text{SUV} & text{Sedan} & text{Totals} hlinetext{Male} & 21&39&60hlinetext{Female}&&45&180hlinetext{Total}&156&84&hlinee

Two-way tables
$$\begin{array}{|c|c|c|c|}\hline& \text{SUV} & \text{Sedan} & \text{Totals} \\ \hline\text{Male} & 21&39&60\\\hline\text{Female}&&45&180\\\hline\text{Total}&156&84&\\\hline\end{array}$$ The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV a)0.25 b)0.55 c)0.75 d)0.87
Step 1 From the two-way table , the total number of females prefers prefer an SUV and Sedan is 180 Step 2 The number of female prefers Sedan is 45 Therefore , the number of female prefers an SUV is 180-45=135 Conditional relative frequency for the Female prefers an SUV is $$\frac{\text{Number of female prefers an SUV}}{\text{Total number of Female}}$$
$$\text{Conditional relative frequency}=\frac{135}{180}$$
$$=0.75$$ Hence , the option (c) is correct