Suppose Y~ Binomial(n, p). Let pn = and define Pn-P În (1 – În) n R₁ = a. Show that R₂Z ~ N(0, 1). b. Use the result in part (a) to derive the formula for an approximate 95% confi- dence interval for p.
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- Let ALet X be the number of litres of milk shake that is requested at a café on a hot summer day. Assume that ??(??) = 12??(1000−??)21012 , 0<x<1000, zero elsewhere, is the pdf of x. How many litres of milk shake should the store have ready on each of these days, so that the probability of exhausting its supply on a particular day is 0.05?Do last 2 parts
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