Question
In: Statistics and Probability
A chef is opening a new restaurant in Portland. Oregon. and wants to know how many...
A chef is opening a new restaurant in Portland. Oregon. and wants to know how many vegan meals he should prepare. 300 people will attend opening night. He knows that about 4% of people in Portland are vegan, and the approximate population of Portland is 600,000. You do NOT need to check CLT here.
A. What is the probability that less than 4.5% of the people attending opening night will be vegans?
B. What is the probability that more than 3.5% of the people attending opening night will be vegans?
C. What is the probability that between 5.5% and 6% night will be vegans?
Solutions
Expert Solution
Let the proportion, 
=
number of people attending opening night are vegan.
follows
normal distribution with,
A)
The probability is obtained by calculating the z score,
Where,
Now, the required probability is,
The probability is obtained from standard normal distribution table for z = 0.4419,
B)
Now, the required probability is,
The probability is obtained from standard normal distribution table for z = 0.4419,
C)
Now, the required probability is,
The probability is obtained from standard normal distribution table for z = 1.7678 and z = 1.3258,
orchestra answered 2 years agoRelated Solutions
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