Temperatures in LA. The average daily high temperature in October in Los Angeles is 79 degrees...
Temperatures in LA. The average daily high temperature in October in Los Angeles is 79 degrees Fahrenheit with a standard deviation of 5 degrees Fahrenheit. Suppose that the temperatures in October closely follow a normal distribution. Round calculated answers to 3 decimal places.
1. What is the probability of observing an 78 degrees Fahrenheit temperature or higher in Los Angeles during a randomly chosen day in October?
2. How cold are the coldest 30% of the days during October in Los Angeles? or less.
We use the following equation to convert degrees Fahrenheit to degrees Celsius:
C=(F−32)∗5/9
3. Write the probability model for the distribution of temperature in degrees Celsius in month in Los Angeles. Note: To calculate the new standard deviation, just multiply by 5/9, do not subtract 32. N( , )
4. What is the probability of observing a 25.556 degrees Celsius (which roughly corresponds to 78 degrees Fahrenheit) temperature or higher in October in Los Angeles? Calculate using the degrees Celsius model from part (3)
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