Question

1.Suppose the number of cell phones in a household has a binomial distribution with parameters ?=13n=13 and ?=55p=55%.  
Find the probability of a household having:
(a) 9 or 12 cell phones  (b) 10 or fewer cell phones  (e) more than 10 cell phones
(c) 9 or more cell phones  (d) fewer than 12 cell phones  

2.If ? is a binomial random variable, compute ?(?=?) for each of the following cases:

(a)  ?=3,?=1,?=0.2
?(?=?)=

(b)  ?=6,?=1,?=0.5
?(?=?)=

(c)  ?=4,?=2,?=0.3
?(?=?)=

(d)  ?=3,?=2,?=0.2
?(?=?)=

Answer 1