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Probability Questions
Question 1
Let 𝑋 be a standard normal random variable
Let 𝑋 be a standard normal random variable.
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Consider a sinusoidal signal with random phase, defined by x(t)=Acos(2πfct+θ), where A and FC are constant and θ is a random variable uniform distributed over interval [-π,π], that is f(θ)={█(1/2π,&-π≤θ≤π@0,&elsewhere)┤ Describe the autocorrelation RX(τ
Question (1) Find the value of the constant k, so that f(x) = kx3,0 < x < 1 is a probability density function of random variable X and then calculate: i. The distribution function F(X), and draw it. ii. The mean E(X) and the variance V(X) of the random va
There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability qi. You plan on selecting a site to protect
When doing polling, for instance to figure out how popular a given candidate is, a common trick is to just ask N many people whether they support that candidate, and take the support to be the faction of people who say yes: if 70 people support the candid
Exercise - 2.15
Statistics
Probability Question
Given the following distribution function F(x) = { 1 - e^-0.05x , x≥0 a) find the probability density function of X b) find P(5 ≤ x ≤ 10).
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