Poisson distribution homework help?

Posted on 2016-03-18 18:51:00 in Math by JAMES PARRO

The number of chocolate chips in a chocolate chip cookie is Poisson with a mean of 3. 
a. What is the probability that a cookie has at most one chocolate chip in it? 
so using the poisson distribution, I did P(N ≤ 1) = sigma (0 to 1) [(e^-3)(3^k)/(k!)] 

b. In a bag of ten cookies, what is the probability that at most one cookie of the ten has at most one chocolate chip in it? 
using the previous answer (x) would it just be [(x)(1-x)^9] (10!) 

c) What is the probability (mass) function for the number of cookies that would have to be drawn until one gets a cookie with at most one chocolate chip in it? 
no idea how to do this 

d) A bag of cookies has 2 cookies with at most one chocolate chip and 8 cookies with more than one chocolate chip. If Sarah and Sam split the bag evenly (5 cookies each) at random, what is the probability that Sarah gets both cookies with at most one chocolate chip? 
no idea how to do this 

please help! would truly appreciate it!!

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