A market research company interviewed 700 consumers about their demographics, intention to buy a new mobile phone and brand preferences. From the respondents, 72% planned to buy a new mobile phone. From them, 54% purchased an Apple branded phone, while 13% of those that did not plan to buy a new mobile phone purchased an Apple branded phone. Present the probability tree for this problem and calculate all the joint probabilities.  What is the probability that a randomly selected respondent has purchased an Apple branded mobile phone? How many respondents purchased an Apple branded mobile phone?   What is the probability that a randomly selected respondent that did not plan to buy a new mobile phone ended up purchasing a new Apple branded phone?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A market research company interviewed 700 consumers about their demographics, intention to buy a new mobile phone and brand preferences. From the respondents, 72% planned to buy a new mobile phone. From them, 54% purchased an Apple branded phone, while 13% of those that did not plan to buy a new mobile phone purchased an Apple branded phone.

Present the probability tree for this problem and calculate all the joint probabilities. 

What is the probability that a randomly selected respondent has purchased an Apple branded mobile phone?

How many respondents purchased an Apple branded mobile phone? 

 What is the probability that a randomly selected respondent that did not plan to buy a new mobile phone ended up purchasing a new Apple branded phone? 

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