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Throw a fair dice n times, and observe outcomes from each throw. Now let X be the number where value 1 occurs from n throws. (1) Write the probability mass function of random variable X. (Hint: Binomial distribution) (2) Let n=5 · Compute P{X < 1 or X > 5}. (3) Let n=30 · first use Binomial distribution to find P{X=5}. Then, use the normal distribution to approximate P{X=5}. (Hint: note the continuity correction)

Throw a fair dice n times, and observe outcomes from each throw. Now let X be the number where value 1 occurs from n throws. (1) Write the probability mass function of random variable X. (Hint: Binomial distribution) (2) Let n=5 · Compute P{X < 1 or X > 5}. (3) Let n=30 · first use Binomial distribution to find P{X=5}. Then, use the normal distribution to approximate P{X=5}. (Hint: note the continuity correction)

MATLAB: An Introduction with Applications
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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Throw a fair dice n times, and observe outcomes from each throw. Now let X be the number where value 1 occurs from n throws. (1) Write the probability mass function of random variable X. (Hint: Binomial distribution) (2) Let n=5 · Compute P{X <1 or X > 5}. (3) Let n=30 · first use Binomial distribution to find P{X=5}. Then, use the normal distribution to approximate P{X=5}. (Hint: note the continuity correction)
Transcribed Image Text:Throw a fair dice n times, and observe outcomes from each throw. Now let X be the number where value 1 occurs from n throws. (1) Write the probability mass function of random variable X. (Hint: Binomial distribution) (2) Let n=5 · Compute P{X <1 or X > 5}. (3) Let n=30 · first use Binomial distribution to find P{X=5}. Then, use the normal distribution to approximate P{X=5}. (Hint: note the continuity correction)
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