(a) Write down the probability distribution of x. Solution: p(x = 0|μ) = 1− μ, so p(x|μ) = μx(1− μ)1−x, this is known as the Bernoulli distribution. (b) Show that this is a proper probability distribution, i.e. the probability sum up to 1. What is the expectation and variance of this distribution? Solution: ∑ x∈{0,1} p(x|μ) = p(x = 0|μ) + p(x = 1|μ) = 1− μ+ μ = 1 E(x) = ∑ x∈{0,1} xp(x|μ) = 0× p...

Background: Cystoid Macular Edema (CME) is one of the most common and sight threatening complications of uveitis. Intravitreal injection of corticosteroids and anti-VEGF antibody are two routine options for treatment. Objective: To compare the effects of intravitreal injections of Bevacizumab and Triamcinolone Acetonide for the treatment of persistent macular edema in non-infectious uveitis. Me...

Doubly-charged Higgs bosons have extensively been searched at the LHC. In this work, we study sensitivity reach of doubly-charged scalar (H±±) in muon collider for well-known Type-II seesaw scenario. First, perform a cut-based analysis to predict discovery prospect operating with 3 TeV center mass energy. addition this, also performed multivariate and mentioned result along obtained from analys...