Scale the function to convert it into a probability density function. Then find the expected value of a random variable with that density. If not possible, write undefined
Let K be the required scaling factor to convert the given function into a probability density function (PDF).
Hence, PDF = P(x) = k.f(x) = 6Ke-8x if x> 0 and 0 otherwise.
If P(x) is the PDF then integral of P(x) over x = -∞ to x = ∞ should be 1. Please see the whiteboard.
Hence, 3K /4 = 1
hence, K = 4 / 3
So, the pdf is: P(x) = 6 x 4 / 3 x e-8x for x &g...
Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*See Solution
Q: Please help me find the length of the curve
A: We\'ll use arc length formula with a=pi/2, b=2pi/3.
Q: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3
A: Here given differential equation is:Find the solution of given differential equation and match the g...
Q: A circle has an initial radius of 50 ft. when the radius begins decreasing at the rate of 3 ft/min. ...
A: Area of a circle is given byDifferentiating the function of area with respect to time:
Q: How can I get the result? Which is the result?
A: Please see the picture on the white board. I have used the picture in the question and marked all th...
Q: a. find a possible function f and number a b. evaluate the limit by computing f`(a).
A: We first write the given function in the form of the definition of the derivative.
Q: please explain how to solve this problem
A: Consider x be the number of times the price is reduced by $0.05.
Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...
A: We have been given a power series and we are required to find its radius of convergence as well as i...
Q: Find the derivative of the inverse function f(x) = x/x+2
A: Click to see the answer
Q: Use the following definitions to prove that lim x 0 x0+ Assume f exists for all x near a with x > a....
A: The given limit function is,