X is exponentially distributed density of the power expressed in mW with an average of 5...
If X is uniformly distributed over (0,2) and Y is exponentially distributed with parameter λ = 2. Also X and Y are independent, find the PDF of Z = X+Y.
Let X be exponentially distributed with parameter 3. a) Compute P(X > 6 | X > 2). b) Compute E(7e-12x+8+ 5). c) Let Y be independent from X. Suppose the PDF for Y is f(x) = 2x for 0 ≤ x ≤ 1 (and 0 else). Find the PDF of X + Y.
5. A nuclear power plant produces an average of 2.10 x 103 MW of power during a year of operation. Find the corresponding change in mass of reactor tuel, assuming all of the energy released by the uel can be converted directly to electrical energy, in a pracnea reactor, on a reative sına acaon the energy can be converted to electricity.) kg
the length of a phone call is exponentially distributed with an average of 5 minutes, what is the expected length given it is > 2 minutes? use conditional probabilities
Consider an exponentially distributed random variable X with pdf f(x) = 2e−2x for x ≥ 0. Let Y = √X. a. Find the cdf for Y. b. Find the pdf for Y. c. Find E[Y]. If you want to skip a difficult integration by parts, make a substitution and look for a Gamma pdf. d. This Y is actually a commonly used continuous distribution. Can you name it and identify its parameters? e. Suppose that X is exponentially distributed with...
q. If X is Rayleigh distributed amplitude with an average power of 10, what is the pdf of Y=1-exp(-X^2/10)? r. If X is N(0,4) and Y is N(0,9) and X and Y are independent, what is the prob {XY>0)?
Suppose that X is exponentially distributed with mean 1/2. Which of the following is a density function of Y = X? S4ye -2y2 0 y > 0 y < 0 2e-2y y > 0 y < 0 o {:2 2e-2y y > 0 y<0 Site 10 y > 0 y<0 ke-u/2 y y > 0 y < 0 { e-2y2 y > 0 y < 0 0
Suppose that X is exponentially distributed with mean 1/2. Which of the following is a density function of Y = X? S4ye -2y2 0 y > 0 y < 0 2e-2y y > 0 y < 0 o {:2 2e-2y y > 0 y<0 Site 10 y > 0 y<0 ke-u/2 y y > 0 y < 0 { e-2y2 y > 0 y < 0 0
Suppose that X is exponentially distributed with mean 1/2. Which of the following is a density function of Y = X? S4ye -2y2 0 y > 0 y < 0 2e-2y y > 0 y < 0 o {:2 2e-2y y > 0 y<0 Site 10 y > 0 y<0 ke-u/2 y y > 0 y < 0 { e-2y2 y > 0 y < 0 0
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter À-1/6. If it does not rain (under the event F), T is exponentially distributed with the parameter λ 1/2 The percentage of raining time is 0.3 (a) Find the PDF of Tand the expected value ET]. (b) Find the PDF of T given that B [T 6] 2. Random variables X and Yhave the joint PDF otherwise (a)...