Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Customers of a restaurant have been
complaining about food poisoning over the
past week. A health professional was called to
investigate. She tested a representative
sample of the eggs and reported that 24% of
the sample eggs tested positive for the
salmonella bacterium. If a second health
professional tests 66 eggs at random, what is
the probability that exactly 14 test positive
for salmonella?
Use a normal distribution to approximate the
answer and write it as a decimal rounded to
the nearest hundredth.
Transcribed Image Text:Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.
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