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A certain scientific theory supposes that mistakes in cell division occur according to a poisson process with rate 2.5 per year, and that an individual dies when 196 such mistakes have occurred. assuming this theory, find

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meerkat18

(a)    The mean lifetime of an individual

Rate= 2.5 age it dies= 196 E [Xi](which we need to compute for the year) is equal to 196(0.4)=78.4 years

(b)   The variance of the lifetime off an individual

Rate=2.5 age it dies= 1[Xi] (which is needed to compute the variance) is equal to 196(0.16)=31.36 years.

 

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