Question

A soda machine dispenses normally distributed amounts of soda with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are you more likely to randomly select one bottle with more than 21.3 ounces or are you more likely to select a sample of eight bottles with a mean amount of more than 21.3 ounces? Explain.

Answer 1

Let X denotes the amount of soda in a randomly selected bottle.

Here,

X ~ Normal(20, 0.22)

The probability to randomly select one bottle with more than 21.3 ounces

and

So, both the case have same zero probability, so both events are unusual.