Question

An automated egg carton loader has a 1% probability of cracking an egg. Assume that each egg load is an independent event. The distribution of cracked eggs per dozen should be a ________________________ distribution.

Answer 1

Since , the probability of the cracking an egg is 0.01. i.e. probability of success.

For each an egg, there only two possibilities. It is either crack or not.

i.e. each trial has only two outcomes.

Also , All the eggs are independent.

Here , all the condition of binomial distributions are satisfied.

Therefore , the distribution of cracked eggs per dozen should be a Binomial distribution.

The following are the conditions for binomial distribution:

a) The experiment consists of 'n' number of trails.

b) Each trails has two possible outcomes.

c) All the trails are independent.

d) The probability of success is 'p'.