02'e-x/(20²) dx = | 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/(282) x > 0 f(x; 0) = { e2 otherwise as a model for the X distribution. (a) Verify that f(x; 0) is a legitimate pdf. × ) = 0 - = 1 (b) Suppose e 119. What is the probability that X is at most 200? Less than 200? At least 200? (Round your answer to four decimal places.) at most 200 less than 200 Enter a number. at least 200 (c) What is the probability that X is between 100 and 200 (again assuming e = 119)? (Round your answer to four decimal places.) (d) Give an expression for P(X < x). P(X s x) = 1- e

Q: f(4) f'(4) g(4) g'(4) 5. -1 3. Given the table, answer the following: -3 2 (a) Find the derivative…

A:

Q: was/ui/v2/assessment-player/index:html?launchld%344997867-01b2-457f-bdfd-eba27bc2 O of 59 v…

A: Given query is to find the derivative of the expression.

Q: Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14

A: Given the tablewe have to find the value of f'(-12)

Q: If f(x)=5+2(x-1)^1/2, does f(x) satisfy all the conditions of the mean value theorem in the interval…

A:

Q: Consider the function f in Example 2 in this section. What is f' (1)? f'(1) = -2 What is the average…

A:

Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

A:

Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 4. If X has an exponential (A) PDF, what is the PDF of W = X² ?

A: Given, X~ exp(λ)       To find, what is the PDF of W=X2

Q: The moment generating function of X is given as follows: M(x)(t)= e^(8t). Use the moment generating…

A: It is required to calculate the mean of the random variable X, using the moment generating function.

Q: Let f(x) = 5x² cos(2x). f'(x) = -10x²(2x) + 10x cos(2x) f'(5) = 0 f"(x) = -10x² sin (2x) + 10x…

A:

Q: Assume that y is a function of x. Consider the curve defined by ln y=x^2+xe^y. Find the slope of the…

A: