Question

a candle shop owner collected data on customers favorite scents, as shown in the table. a customer is randomly selected. if the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities? lavender vanilla cinnamon floral coconut 0.31 0.18 0.23 ? ? 0.10 0.14 0.28 0.30

Explanation:

Step1: Recall probability sum property

The sum of all probabilities in a probability - distribution is 1. Let the probability of choosing floral and coconut be \(x\) each.

Step2: Set up the equation

We know that \(0.31 + 0.18+0.23 + x + x=1\).
Combining like - terms, we get \(0.72 + 2x = 1\).

Step3: Solve for \(x\)

Subtract 0.72 from both sides: \(2x=1 - 0.72\), so \(2x = 0.28\).
Divide both sides by 2: \(x=\frac{0.28}{2}=0.14\).

Answer:

0.14