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.

Solutions

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 1 year ago

Next > < Previous

Related Solutions

. The average wind speed in Casper, WY, has been found to be 12.7 mph, and...

. The average wind speed in Casper, WY, has been found to be 12.7 mph, and in Phoenix, AZ, it is 6.2 mph. To test the relationship between the averages, the average wind speed was calculated for a sample of 31 days for each city. The results are reported below. (15 pts) Casper Phoenix Sample size n 31 31 Sample mean x̅ 12.85 mph 7.9 mph Population standard deviation σ 3.3 mph 2.8 mph Is there sufficient evidence at α...

Assuming a linear speed-density relationship. the mean free speed is observed to be 65 mph at...

Assuming a linear speed-density relationship. the mean free speed is observed to be 65 mph at near zero density and the corresponding jam density is 160 veh/mi. Assume that the average length of vehicles is 20 feet. a) Write down the equations for speed-density and flow-density relationships b) Calculate the speed and density corresponding to a flow of 1000 veh/hr c) Calculate the average time headway and average space headway when the traffic flow is at maximum value

2. Current codes indicate the maximum anticipated sustained wind speed in Continental US is 150 mph....

2. Current codes indicate the maximum anticipated sustained wind speed in Continental US is 150 mph. Using Bernoulli's equation calculate the associated stagnation pressure.

According to Michael Anton, what are San Francisco Values? What value does he claim is missing...

According to Michael Anton, what are San Francisco Values? What value does he claim is missing from David Talbot’s list? If Anton is correct, what does that omission suggest about the city’s understanding of itself and its history?

μ = the population mean speed (mph) of trucks in a specific region in Greeley, CO....

μ = the population mean speed (mph) of trucks in a specific region in Greeley, CO. A random sample of 8 trucks has a sample mean speed of 25.4 mph and the population standard deviation is known to be 3.2 mph. Find the 95% confidence interval for μ. a.) (23.18, 27.62) b.) (12.68, 18.70) c.) (24.08, 30.05) d.) (18.80, 24.56) What is the required sample size if you want an error margin for the 95% confidence interval for μ to...

what is a healthy CPI rate? Also, what is the CPI for san francisco & sebastopol, CA. what does it mean?

According to Wikipedia, the speed of an adult cheetah varies Normally with a mean of 71.5...

According to Wikipedia, the speed of an adult cheetah varies Normally with a mean of 71.5 mph (miles per hour) and a standard deviation of 3.5 mph. Hint: For each question ask yourself if the question is about the population information or Sampling distribution of sample means. QUESTIONS BELOW: 1.What is the probability that a randomly chosen cheetah will run faster than 77.77mph? (Draw a picture with relevant values (x,z,p center, spread) and inflection points identified, and an appropriate label...

5. According to a report by the U.S. Fish and Wildlife Service, the mean length of...

5. According to a report by the U.S. Fish and Wildlife Service, the mean length of six- year-old rainbow trout in the Arolik River in Alaska is 479 millimeters with a standard deviation of 39 millimeters. Assume these lengths are normally distributed. a. What proportion of six-year-old trout are between 385 and 475 millimeters long? b. Is it unusual for a six-year-old rainbow

(1) According to a report by the U.S. Fish and Wildlife Service, the mean length of...

(1) According to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska is 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally distributed. (a) What percent of six-year-old rainbow trout are less than 450 millimeters long? (b) What percent of six-year-old rainbow trout are between 400 and 500 millimeters long? (c) What percent of six-year-old rainbow trout are greater than 492 millimeters...

According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A...

According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college math class resulted in the following family sizes: 4; 5; 5; 4; 4; 4; 6; 4; 3; 2; 5; 5; 6; 3; 3; 2; 7; 4; 5; 2; 2; 2; 3; 2. At α = 0.05 level, is the class's mean family size greater than the national average? Note: If you are using a Student's t-distribution for the problem, you...

Subjects