Ans a ) the parameters are mean = 65, standard deviation = 20
b )
Problem 2. The annual maximum wind speed in a location in the United States has the...
Annual maximum wind speed gusts have been modeled as both a Type I (Gumbel) and Type II largest extreme value. If the average maximum wind gust is 60 mph and the standard deviation is 12 mph, what is the probability that the annual maximum wind speed gust will exceed 90 mph for each model?
Please Solve Part B Solve Part B Part B What is the probability that the max wind pressure will exceed 30? A large parabolic antenna is designed against wind load. Durng a wind storms, the maximum wind induced pressure on the antenna, P, is calculated as: 2 where C is the drag coefficient, R is the air mass density, V maximum wind speed, and P is the pressure. C, R, and V are statistically independent lognormal random variables with the...
451 In the United States, the mean and standard deviation of adult women's heights are 65 inches (5 feet 5 inches) and 3.5 inches, respectively. Suppose the American adult women's heights have a normal distribution. a. If a woman is selected at random in the United States, find the probability that she is taller than 5 feet 8 inches. b. Find the 72nd percentile of the distribution of heights of American women. c. If 100 women are selected at random...
2. A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotor diameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/s and 23 m/s, respectively. The table below shows the annual wind data near a potential site for setting up a wind farm using this type of wind turbine and the power coefficient of the wind turbine at the specific wind speed. The air...
National Discount has 260 retail outlets throughout the United States. National evaluates each potential location for a new retail outlet in part on the mean annual income of the households in the marketing area of the new locatio National develops an interval estimate of the mean annual income in a potential marketing area after sample of households. taking a random For a marketing area being studied, a sample of 36 households was taken and the sample mean income was $21,100.39....
The mean annual inflation rate in the UNited States over the past 98 years in 3.37% and has a standard deviation of approx 5%. In 2018, the inflation rate was below 1.9%. If the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019? Please show all work, including step by step.
According to Statistical Abstract of the United States, 2015, the mean salary (in dollars) of secondary school teachers in the United States varied among states with a five- number summary of Max 68,800 Q3 54,700 Median 45,500 Q1 43,100 Min 37,700 (New York) (South Dakota) (a) Find and interpret the range. (b) Find and interpret the interquartile range. (c) Sketch a box plot. (d) Predict the distribution of skew for this distribution. Explain. (e) Which value is the most plausible...
Traffic police monitor the speed of vehicles as they travel over a new bridge. The average speed for a sample of 31 vehicles was 82.72 km/h, with the sample standard deviation being 4.61 km/h. We will assume that the speeds are Normally distributed, and the police are interested in the mean speed. Part a) Since the variance of the underlying Normal distribution is not known, inference here would involve the t distribution. How many degrees of freedom would the relevant...
Traffic police monitor the speed of vehicles as they travel over a new bridge. The average speed for a sample of 27 vehicles was 91.29 km/h, with the sample standard deviation being 4.94 km/h. We will assume that the speeds are Normally distributed, and the police are interested in the mean speed. Part a) Since the variance of the underlying Normal distribution is not known, inference here would involve the t distribution. How many degrees of freedom would the relevant...
a probability density function (pdf) of wind speed, y, pl)that is flat from 0 mis to a cutof velocity ve m/s, Pr(v)-( and turbine power, P, as a function of the random variable v of the form 2 where n is the turbine efficiency and v, is the rated velocity such that 2 For the following, assume vc-20 m/s, η-04, ρ 122 kg/m3, A-4x104 m? and v-20 m/s-ve- (a) Calculate the mean value of the random variable defined by this...