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1. What is the probability that the purchased product is a hand sanitizer?

[tex]Q(0) = \frac{5}{60} = \frac{1}{12}[/tex]

2. What is the probability that the purchased product is a face mask?

[tex]s(x) = \frac{45}{60} = \frac{3}{4}[/tex]

3. What is the bestselling product?

Face masks, with a probability of [tex]\frac{3}{4}[/tex] or 75%.

4. If you are the seller, based on the information presented above, which product will you prefer for sale? Why?

Answer :

Let's go through the questions step-by-step and find the answers:

1. Probability that the purchased product is a hand sanitizer:

To find this, we look at the ratio of hand sanitizers out of the total products. The calculation is given by:

[tex]\[
\frac{5}{60}
\][/tex]

When converted to a percentage, it becomes approximately 8.33%. This is the probability that a purchased product is a hand sanitizer.

2. Probability that the purchased product is a face mask:

Similarly, we calculate the probability of purchasing a face mask as:

[tex]\[
\frac{45}{60}
\][/tex]

Converting this to a percentage results in 75%. So, there is a 75% probability that a purchased product is a face mask.

3. Bestselling product:

By comparing the probabilities, face masks have a significantly higher probability (75%) compared to hand sanitizers (8.33%). Hence, the face mask is the bestselling product.

4. If you are the seller, which product to prefer for sale and why:

Based on the information provided, you'd prefer to sell face masks because:

- They have a higher probability of being purchased, which implies higher demand.
- Higher demand usually translates to greater sales volume, potentially leading to increased revenue.

So, face masks are not only the bestselling product but also the preferred choice to sell given their high demand.

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