 # 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 CoormaBak9 2020-10-25 Answered
$\begin{array}{|cccc|}\hline & \text{SUV}& \text{Sedan}& \text{Totals}\\ \text{Male}& 21& 39& 60\\ \text{Female}& & 45& 180\\ \text{Total}& 156& 84& \\ \hline\end{array}$ 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
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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