A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 6.2 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 164 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual) ? Group of answer choices

3.8%, unusual

Step-by-step explanation:

We have that the mean is 175 degrees (m) and the standard deviation is 6.2 degrees (sd), so we are asked:

P (x <164)

P ((x - m) / sd < (164 - 175) / 6.2)

P (z < - 1.77)

If we look in the normal distribution table we have to:

P (x <164) = 0.0384

That is, the probability is 3.8%

Unusual is when the probability is less than 5%, that is to say in this case if it can be said that an unusual data.