Suppose you are throwing an outdoor lunch event for a group of 300 people. Wanting to be inclusive, you decide to offer vegetarian options. Since you thought of vegetarians at the last minute, you are not sure how many are attending, but a quick google search shows that vegetarianism occurs at a rate of 5% according to a recent poll. Assume that the requirements for a binomial distribution have been satisfied.What is the probability that you will have more than 10 vegetarians attending your event?What is the probability that you will have less than 20 vegetarians attending your event?Find the mean number of vegetarians that you would expect to attend this event.Create a “usual range” of the number of vegetarians that you would expect to attend such an eventMax usual range: Min usual range:

Given that Population proportion p=5%=0.05 Sample size n =300 NOTE:- According to bartleby…

Answered: What is the probability that you will…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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Suppose you are throwing an outdoor lunch event for a group of 300 people. Wanting to be inclusive, you decide to offer vegetarian options. Since you thought of vegetarians at the last minute, you are not sure how many are attending, but a quick google search shows that vegetarianism occurs at a rate of 5% according to a recent poll. Assume that the requirements for a binomial distribution have been satisfied.

What is the probability that you will have more than 10 vegetarians attending your event?
What is the probability that you will have less than 20 vegetarians attending your event?
Find the mean number of vegetarians that you would expect to attend this event.
Create a “usual range” of the number of vegetarians that you would expect to attend such an event

Max usual range:

Min usual range:

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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