The mean wind speed in San Francisco is 13.6 mph in July, according to the U.S....

The mean wind speed in San Francisco is 13.6 mph in July, according to the U.S. National Oceanic and Atmospheric Administration. Suppose that the distribution of the wind speed in July in San Francisco is normal with mean μ=13.6 mph and standard deviation σ=6 mph. Find the probability that a randomly chosen day in July has the following wind speeds: 1. 7.2 mph or less 2. Greater than 20 mph 3. Between 15 and 20 mph 4. Tours to Alcatraz Island are canceled if the day is too windy, specifically if the wind speed is higher than 99% of all other wind speeds in July. Find the cutoff wind speed. 5. Suppose that a particular day in July has no wind at all. Should this be considered unusual? On what do you base your answer? 6. Find the 90th percentile of wind speeds. 7. Find the 10th percentile of wind speeds. 8. Calculate the two symmetric wind speeds X1 and X2 that contain the central 80% of X-values between them.

Expert Solution

Note : 1 to 4 done. Please post the remaining in a new post.

Find the probability that a randomly chosen day in July has the following wind speeds:

1. 7.2 mph or less

2. Greater than 20 mph

3. Between 15 and 20 mph

4. Tours to Alcatraz Island are canceled if the day is too windy, specifically if the wind speed is higher than 99% of all other wind speeds in July. Find the cutoff wind speed.

orchestra answered 2 years ago

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