Let X and Y denote the lengths of life, in years, of two components in an electronic system. If the joint density function of these variables is given by: x > 0, 0, y > 0; x-y S(x.y) = {* * elsewhere. Then P(-2 < X < 2]Y = 1) = None of these 0.8646 0.6321 0.9502

Q: (0.0) (3.6) 1) Estimate the area (6.0) (8,0) [ f(x)dx 0

A:

Q: Suppose f(x)=3x2, 0<x<1 is a density function of X.  Find P(1/2<X<2).

A: We have given that,  Let x is a random variable having probability density function is,  f(x) =…

Q: The Weber-Fechner law states that if Y is the physical intensity of sound and X is the perceived…

A: From the given information, fY(y)=ye-y22, y&gt;0 And X=klog(Y)Xk=logYeXk=Yexk*1k=dydx

Q: The density function of X is given by f(x) = 1- x/2, for 0 < x < 2. Find E(5X?). Find Var(X).

A: Given,f(x)=1-x2     ;  0&lt;x&lt;20             ;  otherwise

Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: With the known values of a = 200,000  and b = 230,000,  the first equation for the probability…

A: Here, a = 200,000 and b= 230,000 f(x) =1/(230000-200000)        =1/30000

Q: Use logarithmic differentiation to find dy/dx. y = (x + 1)(x-3) x>3 Step 1 The given function y is…

A:

Q: Let X and Y denote the lengths of life, in years of two components in an electronic system. If the…

A: In order to find the required probability, we will need to find the marginal density of the random…

Q: I was calculating a conditional density function and I got an answer of 2x+3y all over 2x+3/2.  When…

A: Introduction: The conditional density of X given Y is the joint density, f (x, y), divided by the…

Q: The future lifetimes (in months) of two components of a machine have the following joint density…

A:

Q: The probability that a radioactive substance will decay at time t is modeled by the density function…

A: From the given information, the probability that a radioactive substance will decay at time t is…

Q: The particle size distribution is an important factor in solid missile.In production, there are some…

A:

Q: The density function of X is given by f(x) = a + bæ, 0< x < 1. (1) If E(X) = , find a and b. (2)…

A: density function of X is given by;f(x)=1+bx,  0≤x≤1

Q: Input X(() 0.1 H 1 ΚΩ Output Y(t) White noise having a spectral density of 10-4 V/Hz is applied to…

A: The objective of the question is to find the autocorrelation function and the mean-square value of…

Q: x 0], 0),c(y[x>0],y[x = = -4]),col = "honeydew2")

A: From the first line of the code we can see that,  x&lt;- seq(-4,8,0.01)  The lower limit of x is -4…

Q: Find the mean and variance of the gamma distribution using integration to obtain E(X) and E(X2).…

A: Gamma function is defined as: γα=∫0∞xa-1e-xdx Divide both sides by γα…

Q: 1. Consider the two functions f(x) = C(2x - x³), g(x) = C(2x - x²), 0<x<2. (1) Could f be a…

A: