SOLUTION: Given that x has a Poisson distribution with u=1.8 what is the proability that x=0

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Question 841319: Given that x has a Poisson distribution with u=1.8 what is the proability that x=0
Found 2 solutions by Edwin McCravy, ewatrrr:
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose we can expect some event to occur l times over some interval of time.  
Then the probability that the event will occur exactly x times during a span
of that same length of time is given by this formula:

P(x;l)%22%22=%22%22%28lambda%5Ex%2Ae%5E%28-lambda%29%29%2Fx%21

where lambda%22%22=%22%221.8 and x%22%22=%22%22%220%22

Just substitute in the formula:

P(0;1.8)%22%22=%22%22%281.8%5E0%2Ae%5E%28-1.8%29%29%2F0%21

Any number to the zero power is 1 and zero factorial is 1, so

P(0;1.8)%22%22=%22%22%281%2Ae%5E%28-1.8%29%29%2F1%22%22=%22%22e%5E%28-1.8%29%22%22=%22%220.1653

Edwin

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

POISSON Distribution 

P(x; μ) = e%5E%28-mu%29%28%28mu%29%5Ex%29%2Fx%21   where  μ  is the average number of successes  

P(x = 0) = e%5E%28-1.8%29%28%281.8%29%5E0%29%2F0%21=+.1653  16.53% 

0r TI:  poissonpdf(mean, x-value)= poissonpdf(1.8,0)