Let the random variable X be distributed as Binomial Bin(100,0.55). X and ox are the mean...
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Let the random variable X be distributed as Binomial Bin(100,0.55). μX and ox are the mean and standard deviation of X respectively. You may use R for some of the calculations, but please also write out the relevant formulas in order to get full marks for this question. (a) Calculate P[μX  ox≤x≤ μx + ox]. (b) Calculate P[uX  OXS XS UX + OX] using the normal approximation for the binomial. (c) Calculate P[uXOX ≤ x ≤ μX + OX] using the Tchebyshev inequality. (d) If X happens to be distributed as Binomial Bin(100,0.05) instead, would the normal approximation be appropriate or perhaps some other approximation? Let the random variable X be distributed as Binomial Bin(100,0.55). μX and ox are the mean and standard deviation of X respectively. You may use R for some of the calculations, but please also write out the relevant formulas in order to get full marks for this question. (a) Calculate P[μX  ox≤x≤ μx + ox]. (b) Calculate P[uX  OXS XS UX + OX] using the normal approximation for the binomial. (c) Calculate P[uXOX ≤ x ≤ μX + OX] using the Tchebyshev inequality. (d) If X happens to be distributed as Binomial Bin(100,0.05) instead, would the normal approximation be appropriate or perhaps some other approximation?
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The question is about a random variable X that is distributed as binomial with parameters n 100 and p 055 We are asked to calculate the probability of X falling within one standard deviation of the me... View the full answer
Related Book For
Understandable Statistics Concepts And Methods
ISBN: 9780618986927
9th Edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase
Posted Date:
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