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Suppose that X is a negative binomial random variable with p = 0.2 and k = 4. Determine the following:

a. P(x=19)      

b. P(x=20)      

c. P(x=21)

yuhki  Nov 21, 2014

Best Answer 

 #1
avatar+17745 
+5

a)  18nCr3 · (0.2)^4 · (0.8)^(19 - 4)  =  0.046

b)  19nCr3 · (0.2)^4 · (0.8)^(20 - 4)  =  0.044

c)  20nCr3 · (0.2)^4 · (0.8)^(21 - 4)  =  0.041

geno3141  Nov 22, 2014
 #1
avatar+17745 
+5
Best Answer

a)  18nCr3 · (0.2)^4 · (0.8)^(19 - 4)  =  0.046

b)  19nCr3 · (0.2)^4 · (0.8)^(20 - 4)  =  0.044

c)  20nCr3 · (0.2)^4 · (0.8)^(21 - 4)  =  0.041

geno3141  Nov 22, 2014

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