The pdf of a random variable X is shown as (a) Compute the value of A b) Find P (2
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A: Hello! As you have posted 2 different questions, we are answering the first question 1 with 3…
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A: As per our guidelines we are suppose to answer first question .
Q: (30) Let X be a random variable with p.d.f. 2e-2x 0<x<0 f(x) = { , find E(e*) O.w
A: It is given X is a random variable with pdf f(x) = 2e-2x,0<x<∞0,otherwise
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Q: (1) Let X be a random variable with p.d.f. -8x 0<x<0 k f(x)=- , find k. O.w
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Q: (1) Let X be a random variable with p.d.f. -8x 0<x<0 k f(x)=< , find k. O.w
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Q: Find a z value such that the probability of obtaining a larger z value is only 0.15.
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A: The given equation is P(X = 1) = p = 1 – P(X = -1) and E(cX) = 1.
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- 1)Let x be a random variable Gaussian with zero mean and variance 1. Find:a)The conditional pdf and pdf of x given x > 0;b)E [ x| x>0 ]c)Var [ x | x >0]1. Consider the Gaussian distribution N (m, σ2).(a) Show that the pdf integrates to 1.(b) Show that the mean is m and the variance is σ.X is an exponential random variable with parameter λ = 4 Calculate P {X ≤ 3
- Let X be a Gaussian random variable (0,1). Let M = ln(5*X) be a derived random variable. What is E[M]?Two random variables X and Y with a joint PDF f(x,y) = Bx+y for 0≤ x ≤6 , 0≤ x ≤7 and constant B Find value of constant BX is an exponential random variable with λ =1 and Y is a uniform random variable defined on (0, 2). If X and Y are independent, find the PDF of Z = X-Y2
- Find the variance by calculating the first two moments of the random variable X = (- 1 / λ) ln (1-U), where U ~ U (0,1) and λ> 0.A continuous random variable X has a pdf of the form: f(x) = (824/9) x^2, for 0.01 < X < 0.32. Calculate the standard deviation (sigma) of X.The joint PDF of the random variables X and Y is constant on the shaded region, as shown in the image below, and is zero outside. It can be determined that fX,Y(x,y)=2/3. Determine E[XY]. (The answer is not 3/4)
- a hypothesis test produces a t statistic of t=2.3. if the researcher is using a two tailed test with a=0.05 how large does the sample have to bw in order to reject the null hypothesis?Consider a random variable X with E[X] = 10, and X being positive. Estimate E[ln√X] using Jensen’s inequality.Find the variance and standard deviation of a continuous random variable with the given p.d.f. The p.d.f. of a random variable X is f (x) = 2x for 0≤ x ≤1