Question

(1 point) Temperatures in LA. The average daily high temperature in November in Los Angeles is 73 degrees Fahrenheit with a standard deviation of 5 degrees Fahrenheit. Suppose that the temperatures in November closely follow a normal distribution. Round calculated answers to 4 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 November?

2. How cold are the coldest 5% of the days during November in Los Angeles? or less.

We use the following equation to convert degrees Fahrenheit to degrees Celsius:

C=(F−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 25.556 degrees Celsius (which roughly corresponds to 78 degrees Fahrenheit) temperature or higher in November in Los Angeles? Calculate using the degrees Celsius model from part (3).

Answer 1

Hello Sir/ Mam

Given that:

Mean = 73

S.D. = 5

1)

2)

(3)

Now, we know that:

C=(F−32)∗5/9

Hence,

Hence, new model is:

4)

I hope this solves your doubt.

Do give a thumbs up if you find this helpful.