Exercise 3 Let X ~ B(n,p). Find 0< j< n such that: px(j)= max px(i) >2>0
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Roee S.
Suppose the cumulative distribution function of the random variable X is given by F(x) = 0.25x + 0.5, -2 < x < 2. Determine the following: P(X < 1.8) P(X < -2) P(X > -1.5) P(-1 < X < 1)
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Let X be a binomial distribution with parameters n and p, and k a number such that p < k < 1. 1. Find an upper bound for P(X >= kn) using Markov's inequality. 2. Find an upper bound for P(X >= kn) using Chebyshev's inequality. 3. Let p = 1/2 and k = 3/4. Which inequality gives the tighter bound?
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