Let x denote the vibratory stress psi on a wind turbine, Ask an Expert

Statistics

Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. The article "Blade Fatigue Life Assessment with Application to VAWTS" (J. of Solar Energy Engr., 1982: 107-111) proposes the Rayleigh distribution, with pdf

as a model for the X distribution.

a. Verify that f(x;θ) is a legitimate pdf.

b. Suppose θ = 100 (a value suggested by a graph in the article). What is the probability that X is at most 200? Less than 200? At least 200?

c. What is the probability that X is between 100 and 200 (again assuming θ = 100)?

d. Give an expression for P(X ≤ x).

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91803269

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

42 credit card holders are selected at random for each

42 credit card holders are selected at random. For each, their current credit card balance is recorded. The average for these 42 people is = $600. Assume that the current balance of all credit card holders follows a norm ...

What considerations do you need to take when considering

What considerations do you need to take when considering "time value of money"? Why is the following statement true? "A dollar today is worth more than a dollar tomorrow."

During this course you have compiled a marketing plan for

During this course, you have compiled a marketing plan for your fictional start-up company. Share the most important part of the marketing plan, and include an explanation of your company and product/service, situation a ...

1 let z be a standard normal random variable with mean 0

1) Let Z be a standard normal random variable with mean = 0 and standard deviation = 1. Us the normal table to find the following answers. a) P(0 b) P(-1.22 c) Find the value Z 0 such that P(0 0 )= 0.4901. 2) On a typic ...

Use the standard normal distribution or Use the standard normal distribution or

Use the standard normal distribution or the? t-distribution to construct a 90?% confidence interval for the population mean. Justify your decision. If neither distribution can be? used. In a recent? season, the populatio ...

A population has a mean mu equals84 and a standard

A population has a mean mu equals84 and a standard deviation sigma equals6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=36.

Thanks for starting our discussion on cash management if

Thanks for starting our discussion on Cash Management. If you think about it this comes down to speeding up collections of cash or slowing down disbursements of cash. Point out some strategies to accomplish it? Give refe ...

In developing their warranty policy a washing machine

In developing their warranty policy, a washing machine company estimates that over a 1-year period 15% of their new washing machine will need to be repaired. You and your neighbor both purchase a new washing machine. 1) ...

Letnbspnmnbspv denote the normal random variable with

Let N ( m , v ) denote the normal random variable with mean m and variance v . (a) If X is a Standard Normal variable, what is the distribution of the random variable 4 X - 1? (b) If X ~ N (3,1) and Y ~ ...

According to a study in a previous year 570 of households

According to a study in a previous year, 57.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 2,700 randomly selected households showed that 58.0% used natural gas. Use a 0.05 ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert