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poisson distribution
Hello there,
Im just looking at a question from a past paper based on the poisson distribution.
"The discrete random variable X has a truncated (0 excluded) Poisson distribution with probability distribution:
P(X = x) = c*(lambda^x)*(e^-lambda) / x ! , x = 1,2,.., infinity (lambda >0) .
Determine :
(a) the constant c "
I know have the answer and it is c = 1 / (1 - e^-lambda) .
But how on earth did they derive that ???
If you could explain I'd be very appreciative. THank you for your time .
Im just looking at a question from a past paper based on the poisson distribution.
"The discrete random variable X has a truncated (0 excluded) Poisson distribution with probability distribution:
P(X = x) = c*(lambda^x)*(e^-lambda) / x ! , x = 1,2,.., infinity (lambda >0) .
Determine :
(a) the constant c "
I know have the answer and it is c = 1 / (1 - e^-lambda) .
But how on earth did they derive that ???
If you could explain I'd be very appreciative. THank you for your time .
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