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B-2. A pizza shop sells Margherita pizza in London. The main ingredients of a Margherita pizza are flour, cheese, and tomato sauce. Each pizza contains 250 gram flour and 100 gram cheese. The price of a pack of 500 gram of flour is normally distributed with mean £1 and variance £0.4. The price of a pack of 200 gram cheese is normally distributed with mean £2 and variance £0.8. Tomato sauce in each pizza costs £0.5. (a) What distribution does the total cost of one Margherita pizza follow? (b) What is the probability that the total cost of the Margherita pizza is more than £2.5? (c) The shop owner conducted a customer survey and collected data from a sample of 100 customers. The data shows that a customer on average spends £8 in the shop, and the standard deviation in the sample is £2. Find a 90% confidence interval for the mean spending of all customers.

B-2. A pizza shop sells Margherita pizza in London. The main ingredients of a Margherita pizza are flour, cheese, and tomato sauce. Each pizza contains 250 gram flour and 100 gram cheese. The price of a pack of 500 gram of flour is normally distributed with mean £1 and variance £0.4. The price of a pack of 200 gram cheese is normally distributed with mean £2 and variance £0.8. Tomato sauce in each pizza costs £0.5. (a) What distribution does the total cost of one Margherita pizza follow? (b) What is the probability that the total cost of the Margherita pizza is more than £2.5? (c) The shop owner conducted a customer survey and collected data from a sample of 100 customers. The data shows that a customer on average spends £8 in the shop, and the standard deviation in the sample is £2. Find a 90% confidence interval for the mean spending of all customers.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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B-2. A pizza shop sells Margherita pizza in London. The main ingredients of a Margherita pizza are flour, cheese, and tomato sauce. Each pizza contains 250 gram flour and 100 gram cheese. The price of a pack of 500 gram of flour is normally distributed with mean £1 and variance £0.4. The price of a pack of 200 gram cheese is normally distributed with mean £2 and variance £0.8. Tomato sauce in each pizza costs £0.5. (a) What distribution does the total cost of one Margherita pizza follow? (b) What is the probability that the total cost of the Margherita pizza is more than £2.5? (c) The shop owner conducted a customer survey and collected data from a sample of 100 customers. The data shows that a customer on average spends £8 in the shop, and the standard deviation in the sample is £2. Find a 90% confidence interval for the mean spending of all customers.
Transcribed Image Text:B-2. A pizza shop sells Margherita pizza in London. The main ingredients of a Margherita pizza are flour, cheese, and tomato sauce. Each pizza contains 250 gram flour and 100 gram cheese. The price of a pack of 500 gram of flour is normally distributed with mean £1 and variance £0.4. The price of a pack of 200 gram cheese is normally distributed with mean £2 and variance £0.8. Tomato sauce in each pizza costs £0.5. (a) What distribution does the total cost of one Margherita pizza follow? (b) What is the probability that the total cost of the Margherita pizza is more than £2.5? (c) The shop owner conducted a customer survey and collected data from a sample of 100 customers. The data shows that a customer on average spends £8 in the shop, and the standard deviation in the sample is £2. Find a 90% confidence interval for the mean spending of all customers.
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