The random variable X has a binomial distribution with n= 10 and p = 0.05. Determine the following probabilities.Round your answers to six decimal places (e.g. 98.765432).(a) P(X = 5) =i(b) P(X < 2) =i(c) P(X > 9) =i(d) P(3 < X < 5) =i

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=56 p=0.5 x=30 A)For n=56, p=0.5, and X=30, use the binomial probability formula to find P(X). B)Can the normal distribution be used to approximate this probability? A. No, because np(1−p)≤10 B. Yes, because np(1−p)≥10 C. Yes, because np(1−p)≥10 D. No, because np(1−p)≤10 C) Approximate P(X) using the normal distribution. Use a standard normal distribution table. A. P(X)=enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. D) By how much do the exact and approximated probabilities differ? A.enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. E)By…

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The random variable X has a binomial distribution with n = 10 and p = 0.05. Determine the following probabilities. Round your answers to six decimal places (e.g. 98.765432). (a) P(X = 5) = i (Б) Р(Х < 2) — i (c) P(X > 9) = i