A discrete random variable X has probability distribution a)Find E[X + 2Y − 1_A + 5]. b)Find E[X · 1_A]. c)Find V ar[X].

Q: Let X be a discrete random variable having the Poisson distribution with parameter u. we know that…

A: Let X be a discrete random variable having a Poisson distribution with parameter .We know that .

Q: X ∼ exp (λ). Determine the function g (X) defined depending on the random variable X. After…

A: Given: X ∼ exp (λ) f(x)=λe-λx,  where x>0 g(x) is another function.

Q: Let X be a discrete random variable having the Poisson distribution with parameter μ. we know that…

A: Let X be a discrete random variable having a Poisson distribution with parameter μ.We know that…

Q: For a certain random variable X it is known that E[X]=2, Var(X)=3. What E[x']?

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Q: Let X be a continuous random variable with a pdf f(x). Suppose f(x) > 0 when x ≥ 0 and f(x) = 0 when…

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Q: Find the mean, E[X], and variance, E[X2] - E[X], of a Uniform[a, b] random variable.

A: Given that X follows Uniform (a,b)  We have to find E(X) , Variance and E(X2)-E(X)

Q: The values of x and their probabilities are listed below.  Calculate the intermediate products to…

A: Given that: x P(x) x * p(x) 32 0.07 2.24 34 0.12 4.08 36 0.24 8.64 38 0.25 9.50 40 0.35…

Q: Let X be a continuous random variable described by f(x)=3(1- x)² for 0<x<1. Find The sketch a graph…

A: Given that, X be continuous random variable with Pdf given by, ,f(x)=3(1-x)2            ;…

Q: Suppose that a > 0 is a constant. Let the joint pdf of random variables X, Y be fx,Y (x, y) x > 0, y…

A: To determine the value of the constant a, use the fact that ∫-∞∞∫-∞∞fx,ydydx=1. The conditional…

Q: Let X and Y be continuous random variables with joint distribution function,   F (x,y).  Let g…

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Q: Let random variable X be uniform in the interval (0, 1). Define random variable Y = aX + b where a…

A: Given that X ~ U0,1 and Y=aX+b such that a≠0

Q: ). Let M = ln(5*X) be a derived random variable. What is E[M]?

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Q: Let X and Y be random variables such that var(X) = 16, var (Y) = 9, and p = cor(X, Y) = -0.5. a.…

A: Solution

Q: The random variable X has CDF Fx(x) x 2) d) Determine E(X) e) Determine Var (X)

A: Given, the cdf of random variable  X: F(x) = 0          x&lt; -30.4           -3≤x&lt;5     0.8…

Q: There are 100 men on a plane. Let x. be the weight (in pounds) of the i th man on the plane. Suppose…

A: From the provided information, Mean (µ) = 170 Standard deviation (σ) = 30 X~N (170, 30)

Q: If X is a uniform random variable over the interval (8, 12), find E[X]

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Q: a) The PDF fy (y) b) The mean E[Y]

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Q: 7 The function f(t) - 7t/3 e models a continuous probability for 0 <t < o. 3 Compute the median:

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Q: et X be a random variable which takes values in the interval ow that E(X)- a PIXI> a)

A: We are given,  X=Random variable which has the values between [-M, M] only. Hence, we have the…

Q: 1)Let x be a uniform random variable over the interval (0, 1). Knowing that y = x2 , calculate:…

A: Given that and y=x2we have to find CDF of Y, E(X2) and E(y)

Q: Let X be a random variable with mean 4 and standard deviation o. What is E[X2]?

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Q: The time t (in hours) required for a new employee to succesfully learn to operate a machine in a…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A fair coin is tossed three times and the random variable x equals the total number of heads. Find…

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