How Do You Determine Conditional Probabilities in Practical Scenarios?

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SUMMARY

This discussion focuses on determining conditional probabilities in practical scenarios, specifically using the example of customer preferences for text messages and photo capabilities. The correct formulation for the probability that a person who wants text messages also wants photo capability is P(B|A), where A represents the desire for text messages and B represents the desire for photo capability. The probabilities provided are P(A) = 0.75, P(B) = 0.80, and P(A ∩ B) = 0.65. Understanding the notation and application of conditional probabilities is crucial for accurate calculations in market research and statistics.

PREREQUISITES
  • Understanding of conditional probability notation (e.g., P(A|B))
  • Familiarity with basic probability concepts and definitions
  • Knowledge of market research statistics
  • Ability to interpret and analyze statistical data
NEXT STEPS
  • Study the principles of conditional probability using examples
  • Learn about probability distributions and their applications
  • Explore descriptive statistics techniques for data analysis
  • Review hypothesis testing methods and their significance in research
USEFUL FOR

Students preparing for exams in statistics, market researchers analyzing consumer behavior, and anyone looking to improve their understanding of conditional probabilities and statistical analysis techniques.

Retro95
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I can easily solve a problem if the probabilities are already defined in the question.. such as P(A|B)
But I always get confused about how to actually define the probability from an application exercise.

E.g..
Market research shows that (A)75% if customers want text messages on their phone, (B)80% want photo capability, (AnB)65% want both.

What are the probabilities that a person who wants text messages also wants photo capability?

Would the formula be
P(A|B)=answer
or
P(B|A)=answer

Also could you please explain in detail how I would know which letter goes first since I always get it confused.
 
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P(B|A), B is the variable which has the probability. A is the condition.
Your expression is a little imprecise the way it is worded. A is the event a customer wants text mesages and P(A) = .75, etc.

In formal terms you are asking what is the probability that a person wants photo capability under the condition the person wants text messages.
 
mathman said:
P(B|A), B is the variable which has the probability. A is the condition.
Your expression is a little imprecise the way it is worded. A is the event a customer wants text mesages and P(A) = .75, etc.

In formal terms you are asking what is the probability that a person wants photo capability under the condition the person wants text messages.

Yeah thanks I eventually figured it out after a lot of application question practice.
************************************

Also I have an exam in 2 days but my stupid lecturer decided not to give us the answer sheet to a previous past paper for us to practice and check our answers on.

So basically I have a past question paper PDF and I'm willing to pay someone to answer it 100% accurately so that I can see which parts I need to improve on before the exam

Inbox me or reply to this thread if anyone reading this is extremely confident in the following topics..
Descriptive Statistics,
Probability, Probability Distributions,
Sampling and Sampling Distributions,
Interval Estimation,
Hypothesis Tests
 

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