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
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?
This is a binomial distribution question with
n = 80
p = 0.03
q = 1 - p = 0.97
a) Since we know that
damaged cartons = np
damaged cartons = 80(0.03)
damaged cartons = 2.4 = 3
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