Q2. Let X be a random variable with (a) Find E(X) (b) Find M(t). (0.42 f(x)=0.46 0.12 if x=0 if x = 1 if x=2

Q: 2.5.8) Suppose that Y is a continuous random variable whose pdf is given by f(x) = {K (4y = 2…

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Q: Exercise 5. Assume that we have observed the following values from a normal distribution with known…

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A: Hello thankyou for the question As per the honor code, we are allowed to answer three parts at a…

Q: 1 The continuous random variable X has p.d.f. f(x) where f(x) = ¿x for 0<x<4 = 0 otherwise.

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Q: 4. If the random variable X has an show that for a > 0, b>0, exponential distrib f(x) = x/4, for x ≥…

A: For the random variable X~Exponential1λ, it is given that: fx=1λe-xλ, for x≥0

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A: PGF of a Random Variable is given by, Gx(t) = Σ tx P(X=x)

Q: 0.1. Find P(E U F). 0.1 and P(F) The two events E and F are independent with P(E) = X

A: to work out the required probabilty

Q: Suppose P(A) = P(B) = 0.2 and P(AN B) = 0.1. What is P(AU B)?

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Q: (a) Compute E(Y). E(Y) = (b) Suppose an individual with Y violations incurs a surcharge of $110Y2.…

A: Given: y 0 1 2 3 p(y) 0.6 0.25 0.1 0.05

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