Question

1)	Suppose that an egg production facility has a machine to transport eggs from underneath the hens to a central collection point.
	Occasionally, about 0.03 of the time, the transportation mechanism damages an egg, rendering that egg inedible.
	a random sample of 8 eggs is chosen. What are the probabilities associated with that sample?
			number of trials (n):	8	1 - p =
			Probability of "success" on any one trial (p):	0.03	E(x) = np =
					Var(x) = np (1-p) =
x	n!/(x!(n-x)!)	px	(n-x)	(1-p)(n-x)	f(x)	BINOM.DIST()	Both are equal
0	1						TRUE
1							TRUE
2							TRUE
3							TRUE
4							TRUE
5							TRUE
6							TRUE
7							TRUE
8							TRUE
					0.00000000000	0.00000000000

Answer 1

The pdf of binomial distribution is

Following is the completed table: