1. Coffee temperature ~ The temperature of coffee served at a restaurant is approximately normally distributed...

1. Coffee temperature ~ The temperature of coffee served at a restaurant is approximately normally distributed with an average temperature of 160 degrees and a standard deviation of 5.4 degrees.

a. What percentage of coffee servings are between 153 and 167 degrees?

Final Answer: _______________________

b. What percentage of coffee is served at a temperature greater than or equal to 170 degrees?

Final Answer: _______________________

c. What is the cutoff for the coolest 20% of coffee servings at this restaurant?

Solutions

Expert Solution

Let X denotes the temperature of coffee served at a restaurant.

Approximately, we can write X ~ Normal(160, 5.4²)

a) The probability that a coffee serving is between 153 and 167 degrees

The percentage of coffee servings are between 153 and 167 degrees = 100*0.8051 = 80.51%

b) The probability that a coffee serving is served at a temperature greater than or equal to 170 degrees

The percentage of coffee is served at a temperature greater than or equal to 170 degrees = 100*0.0320 = 3.2%

orchestra answered 1 year ago

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