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the store owner converts the frequency table to a conditional relative …

Question

the store owner converts the frequency table to a conditional relative frequency table by row. beach towel sales full price discounted total month 1 0.98 0.02 1.0 month 2 0.96 0.04 1.0 month 3 0.808 0.192 1.0 total x y 1.0 which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96

Explanation:

Step1: Calculate the value of \(X\)

Since it is a conditional relative frequency table by row, to find \(X\) (the total relative frequency for full - price across all months), we assume that if we consider the rows (months) as parts of a whole. But in a conditional relative frequency table by row, each row sums to \(1\). If we assume an equal weight for each month (since no other information about the proportion of sales per month is given), and there are 3 months.

$$X=\frac{0.98 + 0.96+0.808}{3}$$
$$X=\frac{2.748}{3}$$
$$X = 0.916\approx0.92$$

Answer:

0.92