Can anyone help solve this problem? 1. A buisiness man spends X hours on the telephone...
5. (6 pts.) Suppose the random variable X has probability density function ()if 0, ifx<0. Find the mean and variance of X. Write the equation one needs to solve to find the median m of X. Do not solve the equation, but at least simplify it enough so that it does not involve any integrals.
Let f(x, y) = ( kxy + 1 2 if x, y ∈ [0, 1] 0 else denote the joint density of X and Y a) Find k b) Find the marginal density of X (because of the symmetry of the joint pdf, the marginal density of Y is analogous). c) Determine whether X and Y are independent. d) Find the mean of X e) Find the cumulative distribution function of X. Set up an equation (but no need to...
I am not familiar with this kind of questions. Please help me
solve this. Your work will be greatly appreciated. THX
!!
6. (20 points) Let X be a continuous random variable such that, P(X <0) equals zero and for each 0, the cumulative density function Fx) is differentiable and its derivative equals the probability density function fx (a) (6 points) Given 0 < b< a, find an expression of the probability P(b X a) in terms of the function...
Can you please solve 7 and 8.
Thank you
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I am studying Continuous Random Variables.
Hope can some one tell me the solutions of these two
problems!
II.1 Let X be a continuous random variable with the density function 1/4 if x E (-2,2) 0 otherwise &Cx)={ Find the probability density function of Z = X density function fx. Find the distribution function Fy (t) and the density function f,(t) of Y=지 (in terms of Fx and fx).
II.1 Let X be a continuous random variable with the density...
The random variable X has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 Show that k = 2/9 Find 2 E(X), 3 the mode of X, 4 the cumulative distribution function F(X) for all x. 5 Evaluate P(X ≤ 2.5). 6 Deduce the value of the median and comment on the shape of the distribution.
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Problem 3. The random variable X has density function f given by 0, elsewhere (a) Assuming that θ 0.8, determine K (b) Find Fx(t), the c.d.f. of X (c) Calculate P(0.4SX 0.8)
2. A random variable has a probability density function given by: Bmx-(B+1) x20 x<m fx(x)= 10 where m>0 and B > 2. Let m and ß be constants; answer the questions in terms of m and B. (a) Find the cumulative distribution function (cdf) Fx(x) of this random variable; (b) Find the mean of X; (c) Find E[X']; and (d) Find the variance of X. [12 points]
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2. The deflection along a uniform beam with fexual Yigidity BI- and applied load f (x) = cos (-) satisfies the equation (a) Evaluate the deflection y (x). Hint: /cos(az)dz-asin (as)+C, /sin(as)dz=-a cos(az) +C (b) Find the influence function (Green's function) G (z,f), where 0 < ξ < 2, for this problem. Hint: Since 0 < ξ < 2, H(0-E)=0, H(2-E)=1. (c) Hence write the deflection of this beam as a definite...
Can anyone help me to solve this question
on Quantum Mechanics about Schrodinger equation please?
1. (a) From the definitions of probability density and flux, P(x,t) = 4*(x,t){(x,t) (:9 = 2 show that ƏP(x,t) at @j(x,t) Ox GP(x,t) for a particle satisfying the Schrodinger equation iħ – I hº o°F(x,t). ?+V(x)*(x,t) am Ox? at provided that the potential V(x) is real..