Poisson distribution  Discrete Probabilites
Poisson distribution
Lessons
Notes:
The Poisson Distribution is an approximation to the Binomial Distribution.
Recall:
• $P(x)= {_n}C_{x}\;p^x(1p)^{nx}$
$n$: number of trials
$x$: number of success in n trials
$p$: probability of success in each trial
$P(x)$: probability of getting x successes (out of n trials)
• $\mu=np$
Now:
• $\mu=\lambda=np$
Poisson Distribution: $P(x)=e^{\lambda}$$\frac{\lambda^x}{x!}$
• poissonpdf $(\lambda,x)$
• poissoncdf $(\lambda,x)$

3.
In a particular community the average person survives to age 100 with probability 0.005 (which is equivalent to 0.5%). If this community has 2,000 people, then what is the probability that 15 people in this community survive to age 100 using;

c)
Compare your previous two answers

5.
Determining the Poisson Distribution using Calculator Commands
A fair coin is flipped 10 times, what is the probability using the Poisson Distribution commands on your calculator find,