Question

the frequency table represents data gathered about how much time some farmers spend tending to their land each week. complete the conditional relative frequency table by row by identifying the values for each letter.
$a =$
$b =$
$c =$
$d =$

Explanation:

Step1: Calculate a

To find the conditional - relative frequency a (for < 1 Acre and ≤ 3 hrs/wk), divide the frequency of < 1 Acre and ≤ 3 hrs/wk by the total frequency of < 1 Acre. So, $a=\frac{180}{300}=0.6$.

Step2: Calculate b

To find the conditional - relative frequency b (for < 1 Acre and > 3 hrs/wk), divide the frequency of < 1 Acre and > 3 hrs/wk by the total frequency of < 1 Acre. So, $b = \frac{120}{300}=0.4$.

Step3: Calculate c

To find the conditional - relative frequency c (for ≥ 1 Acre and ≤ 3 hrs/wk), divide the frequency of ≥ 1 Acre and ≤ 3 hrs/wk by the total frequency of ≥ 1 Acre. So, $c=\frac{40}{200}=0.2$.

Step4: Calculate d

To find the conditional - relative frequency d (for ≥ 1 Acre and > 3 hrs/wk), divide the frequency of ≥ 1 Acre and > 3 hrs/wk by the total frequency of ≥ 1 Acre. So, $d=\frac{160}{200}=0.8$.

Answer:

$a = 0.6$
$b = 0.4$
$c = 0.2$
$d = 0.8$