Nbc news reported on may 2, 2013, that 1 in 20 children in the united states have a food allergy of some sort. consider selecting a random sample of 25 children and let x be the number in the sample who have a food allergy. then x , bin(25, .05).
a. determine both p(x # 3) and p(x , 3).
b. determine p(x $ 4).
c. determine p(1 # x # 3).
d. what are e(x) and sx?
e. in a sample of 50 children, what is the probability that none has a food allergy?