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Binomial distribution

Binomial distribution - You are given a Binomial Variable...

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You are given a Binomial Variable where n=6 and p=0.45: You can use the binomial table in the back of the book to get the following: I II III X=x P(X=x) P(X≤x) 0 0.027681 P(X=0)= 0.027681 1 0.135887 P(X=0)+P(X=1)= 0.027681 + 0.135887 = 0.163568 2 0.277950 P(X=0)+P(X=1)+P(X=2)= 0.027681 + 0.135887 + 0.277950 = 0.441518 3 0.303218 P(X=0)+P(X=1)+P(X=2)+P(X+3)= 0.027681 + 0.135887 + 0.277950 + 0.303218 = 0.744736 4 0.186066 P(X=0)+P(X=1)+P(X=2)+P(X+3) +P(X=4) = 0.744736 + 0.186066 = 0.930802 5 0.060894 P(X=0)+P(X=1)+P(X=2)+P(X+3) +P(X=4) +P(X=5)= 0.930802 + 0.060894 = 0.991696 6 0.008304 P(X=0)+P(X=1)+P(X=2)+P(X+3) +P(X=4) +P(X=5) +P(X=6)= 0.991696 + 0.008304 = 1 Column I is all the values your Binomial Random Variable X can take on. Column II is the pdf (probability density function) values. Column II is the cdf (cumulative density function) values. You get column III by adding the proper numbers from column II. You will have to know how to use column III, The CDF, to get different probability questions . Here is an example where your answers must be rounded to 4 decimal places : 1. What is the probability X is less than 3, P(X<3).
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