A city's temperature is modeled as a normal random

Chapter , Problem 13

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QUESTION:

A city's temperature is modeled as a normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

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QUESTION:

A city's temperature is modeled as a normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

ANSWER:

Step 1 of 3

Let  be the temperature random variable in Celsius.

Let  be the temperature random variable in Fahrenheit.

Fahrenheit  

Therefore,

                                                           

So the mean is 50 degrees Fahrenheit.

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