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The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable KK ?
A. 0.0625
B. 0.9375
C. 4
D. 15.49
E. 240

Respuesta :

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

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