A restaurant manager classifies customers as regular, occasional, or new, and finds that of all customers 25%, 56% and 19% respectively, fall into these categories. The manager found that nshima was ordered by 70% of the regular customers, by 50% of the occasional, and 30% of the new customers. i. What is the probability that a randomly chosen customer orders nshima?  ii. If nshima is ordered, what is the probability that the person ordering is a regular customer?  iii. If nshima is ordered, what is the probability that the person ordering is an occasional customer?  iv. If nshima is ordered, what is the probability that the person ordering is a new customer?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A restaurant manager classifies customers as regular, occasional, or new, and finds that of
all customers 25%, 56% and 19% respectively, fall into these categories. The manager
found that nshima was ordered by 70% of the regular customers, by 50% of the occasional,
and 30% of the new customers.
i. What is the probability that a randomly chosen customer orders nshima? 
ii. If nshima is ordered, what is the probability that the person ordering is a regular
customer? 
iii. If nshima is ordered, what is the probability that the person ordering is an occasional
customer? 
iv. If nshima is ordered, what is the probability that the person ordering is a new
customer? 

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