At a coffee shop, the first 100 customers' orders were as follows:| | Small | Medium | Large ||--------|-------|--------|-------|| **Hot** | 5 | 48 | 22 || **Cold** | 8 | 12 | 5 |What is the probability that a customer ordered a cold drink given that he or she ordered a large?\[ P(\text{Cold} \mid \text{Large}) = [?] \]Round to the nearest hundredth.**Explanation:**The table displays a breakdown of 100 customer orders by size (Small, Medium, Large) and type (Hot, Cold). To find the probability that a customer ordered a cold drink given that it was large, locate the 'Cold' and 'Large' intersection and divide it by the total number of 'Large' orders.

We want to find the probability P(Cold | Large)P(Cold and Large)=5/(5+48+22+8+12+5)=5/100 P(Cold and Large)=0.05 P(Large)=(22+5)=100=27/100=0.27 P(Cold | Large)=P(Cold and Large)/P(Large) =0.05/0.27=0.1852 P(Cold | Large)=0.19

Answered: I. At a coffee shop, the first 100…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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I. At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 48 22 Cold 12 What is the probability that a customer ordered a cold drink given that he or she ordered a large? P(Cold | Large ) = [ ? ] Round to the nearest hundredth. Enter