The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit and a standard deviation of 5.4 degrees Fahrenheit. What is the coffee temperature for the 20th percentile? Enter your answer to four decimal places.

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

We have to find the value of x such that the probability is 0.2

Calculation the value from standard normal z table, we have,  

Thus,

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.