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

Please hit thumps up if the answer helped you

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 22 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 36 minutes ago

asked 38 minutes ago

asked 48 minutes ago

asked 51 minutes ago

asked 52 minutes ago