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6RelativeResourceManager - MINITAB 9: Binomial Distribution...

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MINITAB 9: Binomial Distribution You are given a Binomial Variable where n=6 and p=0.45: You can use a binomial table or MINITAB to get the following probabilities: I II PDF III CDF X = x P(X=x) P(X≤x) X = 0 0.027681 P(X=0)= 0.027681 X = 1 0.135887 P(X=0)+P(X=1)= 0.027681 + 0.135887 = 0.163568 X = 2 0.277950 P(X=0)+P(X=1)+P(X=2)= 0.027681 + 0.135887 + 0.277950 = 0.441518 X = 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 X = 4 0.186066 P(X=0)+P(X=1)+P(X=2)+P(X+3) +P(X=4) = 0.744736 + 0.186066 = 0.930802 X = 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 X = 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, that is P(X=x). Column II is the CDF(cumulative density function) values, that is, P(X≤ x). 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 are some examples (where answers are rounded to 4 decimal places): 1. What is the probability X is less than 3, P(X<3) (this is the exact form of the CDF). That is P(X=0)+P(X=1)+P(X=2)= 0.441518, which is 0.4415 (right from the cdf column)
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This note was uploaded on 04/02/2011 for the course STAT 250 taught by Professor Sims during the Spring '08 term at George Mason.

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6RelativeResourceManager - MINITAB 9: Binomial Distribution...

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