Delay A Gaussian random variable X has the following probability density function: f(x)= -2(x+1)² TC Find the following: a) P(X> 0) b) P(X<-1) c) P(-5/4

Q: Let P(A) = r and P(B) = s with AN B= p. Then P(A\B) equals Select one: а. 1 b. 1-5 C. 0 d. r

A: NOTE:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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: Consider random variable X that is exponentially distributed with E(X) = 2. Select the probability…

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Q: (b) Find E(X). Find Var(X). otherwise.

A: Pdf of X is f(x)=132(8−x) , 0 ≤ x ≤ 8.

Q: If random variable x is exponentially-distributed with mean a= 2, calculate p(X> 3)· Σ 2e-2x x=3 E…

A: From the provided information, Mean (λ) = 2 X~exp(2)

Q: Suppose that the random variables X and Y have the following joint probability density function.…

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Q: 4 The continuous random variable X has cumulative distribution function: x 3 Find: a P(X> 2.4) b the…

A: I solved exactly 3 subpart of given question... because of bartleby policy. If you want more please…

Q: A discrete random variable, X, has the following pdf as follows. X 0 1 2 3 4 P(X = x) 0.15 0.3 a 0.2…

A: Step 1: Given table, pdf tablex01234P(X = x)0.150.3a0.20.1 Step 2: a) The value of 'a' can be…