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Mathematics : asked on iremsgny
 27.04.2021

3) You are in charge of arranging the catering for a company meeting. Your company is responsible for paying for all meals ordered, so you don't want to order too many. Suppose that the expected number of people for the meeting is 84, with a standard deviation of 4 people. What is the fewest number of meals should you order so that the probability of having more people than meals is 5%?

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30.11.2022, solved by verified expert
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Nitin Arora
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Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee
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Answer:

84

Step-by-step explanation:

Sample size = 84 and standard deviation = 4

This means number of people can be 84 +- 4 or 80 to 88

Let the number of meal be X. 

probability of having more people than meals is 5%

Z score = X-mean/ sigma = (X - 84)/4 = 5% of X  = X/5 

5X -84 = 4X 

X = 84

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