Panera Bread has found that 27% of customers purchase more than one cup of coffee per day from their shops. Suppose you randomly choose 185 of today's Panera Bread customers.  Find the probability that no less than 33% of them purchased more than one cup of coffee from Panera. (Round to four decimals)

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Panera Bread has found that 27% of customers purchase more than one cup of coffee per day from their shops. Suppose you randomly choose 185 of today's Panera Bread customers. 

Find the probability that no less than 33% of them purchased more than one cup of coffee from Panera. (Round to four decimals)

Expert Solution
Step 1

We are given the Population proportion of customers who purchase more than 1 coffee per day, P = 0.27

Sample size , n = 187

 Let "p" be the sample proportion of customers who purchase more than 1 coffee per day.

Since the sample proportion "p" is approximately normally distributed for large samples with mean P and standard deviation P(1-P)/n.

 

 

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