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It's known that 60 % of restaurant customers add sugar to the coffee and 50 % of restaurant customers add milk to the coffee. It's also known that 70% of restaurant customers add at least one of two ingredients (sugar & milk) to the coffee. a. The probability that randomly selected restaurant customer adds both sugar and milk to the coffee is b. If it's known that one particular restaurant customer adds sugar to the coffee, then probability that this customer adds milk to the coffee is c. Can we say that the events of adding sugar to the coffee and the event of adding milk to the coffee by the same randomly selected customer are independent events? Answer Yes or No, and justify your answer.

It's known that 60 % of restaurant customers add sugar to the coffee and 50 % of restaurant customers add milk to the coffee. It's also known that 70% of restaurant customers add at least one of two ingredients (sugar & milk) to the coffee. a. The probability that randomly selected restaurant customer adds both sugar and milk to the coffee is b. If it's known that one particular restaurant customer adds sugar to the coffee, then probability that this customer adds milk to the coffee is c. Can we say that the events of adding sugar to the coffee and the event of adding milk to the coffee by the same randomly selected customer are independent events? Answer Yes or No, and justify your answer.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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3. It's known that 60% of restaurant customers add sugar to the coffee and 50 % of restaurant customers add milk to the coffee. It's also known that 70% of restaurant customers add at least one of two ingredients (sugar & milk) to the coffee. a. The probability that randomly selected restaurant customer adds both sugar and milk to the coffee is b. If it's known that one particular restaurant customer adds sugar to the coffee, then probability that this customer adds milk to the coffee is c. Can we say that the events of adding sugar to the coffee and the event of adding milk to the coffee by the same randomly selected customer are independent events? Answer Yes or No, and justify your answer. Assuming that the event "A randomly selected restaurant customer adds sugar to the coffee" is denoted by A, and the event "A randomly selected restaurant customer adds milk to the coffee "is denoted by B, show your work in finding probabilities in the questions a., b., and answering the question c.
Transcribed Image Text:3. It's known that 60% of restaurant customers add sugar to the coffee and 50 % of restaurant customers add milk to the coffee. It's also known that 70% of restaurant customers add at least one of two ingredients (sugar & milk) to the coffee. a. The probability that randomly selected restaurant customer adds both sugar and milk to the coffee is b. If it's known that one particular restaurant customer adds sugar to the coffee, then probability that this customer adds milk to the coffee is c. Can we say that the events of adding sugar to the coffee and the event of adding milk to the coffee by the same randomly selected customer are independent events? Answer Yes or No, and justify your answer. Assuming that the event "A randomly selected restaurant customer adds sugar to the coffee" is denoted by A, and the event "A randomly selected restaurant customer adds milk to the coffee "is denoted by B, show your work in finding probabilities in the questions a., b., and answering the question c.
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