Question

Temperatures in LA. The average daily high temperature in February in Los Angeles is 69 degrees Fahrenheit with a standard deviation of 5 degrees Fahrenheit. Suppose that the temperatures in February closely follow a normal distribution. Round calculated answers to 4 decimal places.

1. What is the probability of observing an 74 degrees Fahrenheit temperature or higher in Los Angeles during a randomly chosen day in February? (?)

2. How cold are the coldest 15% of the days during February in Los Angeles? (?) or less.

We use the following equation to convert degrees Fahrenheit to degrees Celsius: ?=(?−32)∗5/9C=(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 23.333 degrees Celsius (which roughly corresponds to 74 degrees Fahrenheit) temperature or higher in February in Los Angeles? Calculate using the degrees Celsius model from part 3. (?)

Answer 1

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