Question

The waitors in a bar receive an average tip of $20 per table with a standard deviation of $5. The amount of tips are normally distributed and a waitor feels that he has provided excellent tip if more than $25. The probability that a waitor has NOT provided excellent service (according to the waiter's theory) to a table is

Answer 1

To find the probability that a waiter has NOT provided excellent service, we need to standardize the tip amount and use a standard normal distribution table or calculator.

Step-by-step explanation:

To find the probability that a waiter has NOT provided excellent service, we need to find the area under the normal distribution curve below the tip amount of $25.

First, we need to standardize the tip amount using the formula: z = (x - μ) / σ, where z is the standardized value, x is the tip amount, μ is the average tip amount, and σ is the standard deviation.

Once we have the standardized value, we can use a standard normal distribution table or a calculator to find the probability associated with that value.