Question

A poultry farm owner estimated that about 3% of egg cartons are getting damaged (at least one broken egg) during transportation to various retailers. Suppose a retailer bought 80 cartons of eggs from the poultry farm. Let X denote the number of damaged cartons among the 80 cartons.

a. How many damaged cartons does the retailer expect to have among 80?
b. Find the probability that at most 3 damaged cartons among 80?
c. Would it be unusual if 5 or more damaged cartons are found among the 80 cartons?

Answer 1

This is a binomial distribution question with

n = 80

p = 0.03

q = 1 - p = 0.97

where

a) Since we know that

damaged cartons = np
damaged cartons = 80(0.03)
damaged cartons = 2.4 = 3

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