Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Use the Rayleigh distribution, with pdfxexảy (292){82f(x; 0) =0as a model for the X distribution.x>0otherwise(a) Verify that f(x; 8) is a legitimate pdf.1/2 · e-x²/(28²) dx =82=0->(b) Suppose = 116. What is the probability that X is at most 200? Less than 200? At least 2007 (Round your answer to four decimal places.)at most 200less than 200at least 200(c) What is the probability that X is between 100 and 200 (again assuming = 116)? (Round your answer to four decimal places.)(d) Give an expression for P(X ≤ x).P(X ≤ x) =

Answered: Image /qna-images/answer/a065fc0e-5fa9-4a34-abd9-a4513e50534b.jpg

Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Use the Rayleigh distribution, with pdf e-x²/(26²) -fo f(x; 0) as a model for the X distribution. x>0 otherwise (a) Verify that f(x; 8) is a legitimate pdf. 12/27 - 0²/1(21²) d dx= -0- (b) Suppose 8 - 116. What is the probability that X is at most 200? Less than 200? At least 2007 (Round your answer to four decimal places.) at most 200 less than 200 at least 200 (c) What is the probability that X is between 100 and 200 (again assuming - 116)? (Round your answer to four decimal places.) (d) Give an expression for P(X s X). P(X ≤ x) =

Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind tunnel. Use the Rayleigh distribution, with pdf e-x²/(26²) -fo f(x; 0) as a model for the X distribution. x>0 otherwise (a) Verify that f(x; 8) is a legitimate pdf. 12/27 - 0²/1(21²) d dx= -0- (b) Suppose 8 - 116. What is the probability that X is at most 200? Less than 200? At least 2007 (Round your answer to four decimal places.) at most 200 less than 200 at least 200 (c) What is the probability that X is between 100 and 200 (again assuming - 116)? (Round your answer to four decimal places.) (d) Give an expression for P(X s X). P(X ≤ x) =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

See similar textbooks

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
Please calculate H(x)
A function at x=2.1 , 2.2 , 2.3 has values 22, 18 , 16 respectively . the most accurate first derivative permitted by these data points at x= 2.2 is
If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True False
Suppose that the p.d.f. of X is as given f(x) = 3(1-x)2 for 0<x<1 and 0 otherwise Find the pdf of Y=(1-X)3 using the change of variable method.
U. JLA JU9.3 0.3x -0.2x2 + 10x3 = = 71.4 Q3: Find the first derivative at x 2 for the function given by the data 1.0 1.5 2.0 3.0 0.4057 0.69315 1.09861 GOOD LUCK
Suppose g(z) = e. Find a function f(z) such that (fg)' = f'g' for z>. %3D
Let h(x) = f(g(x)). If f(-4) = –3,f'(-4) = –1, g(1) = –4, and g'(1) = 3, find h' (1). %3D %3D %3D %3D Do not include "h' (1) =" in your answer. Provide your answer below: Content attribution MacBook Pro esc & 23 $ 8. 4 5 6 2 3 T Y Q W E P R
Use Gamma Function to evaluate dx
Find an equation of the tangent line to the graph of function f(x) = 5Vx at the point (6,5 V6). %3D (Use symbolic notation and fractions where needed. Let y = f(x) and express equation in terms of y and x.) %3D
Find the function whose tangent line has the slope e for each value of x and whose graph passes through (0, 2). O e* +2 O e* +1