Concepts

 

Concepts of Module 2 are embodied into questions shown below. ((Try to answer at least 5 of them)). For those questions you’re unable to answer, describe the challenges that prevent you from doing so (((do this for at least 2 questions))). Each student is required to participate as this discussion gives you the opportunity to earn discussion credits. Participation means posting own threads and reacting to other students’ postings(( reply to 3 students ))* I will send you their posts once they submit the work* . Postings like I agree, yes, no, etc. do not count.

Describe the following concepts: random experiment, outcome, event, probability, and sample space.

What is the difference between objective and subjective probabilities?
What is the difference between empirical probability (i.e. relative frequency) and classical approaches to the calculation of probabilities?
What is the differences between union of events, intersection of events, and complement of an event?
What is the difference between exhaustive events and mutually exclusive events?
What is the difference between unconditional and conditional probability?
What is the difference between dependent and independence of events?
What is contingency table?
Describe each of the following rule: addition rule, multiplication rule, complement rule, and total probability rule.
What is the Bayes’ theorem?
What is the difference between discrete and continuous random variables?
What are the 2 key properties of a discrete probability distribution?
What are the expected value and the variance of a discrete random variable and how are they calculated?
What are the conditions of the Bernoulli process (i.e. binomial experiment)?
What are the 2 parameters of a Binomial distribution and its probability distribution function?
What are the expected value, variance, and standard deviation of the Binomial distribution?
What are the conditions of a Poisson experiment?
What are the Poisson probability distribution function, its expected value, variance, and standard deviation?
What is the parameter of the Poisson distribution?
What is the difference between the Binomial and the Hypergeometric distributions?
What are the Hypergeometric probability distribution function, its expected value, and variance?
What is the difference between probability distribution function and probability density function?
What is the continuous Uniform probability distribution?
Why is the probability that a continuous random variable takes on a specific value is zero?
What are the continuous Uniform’s probability density function, its expected value and standard deviation?
What are the characteristics/properties of a Normal distribution?
What is the standard Normal distribution and how can it be used to look up probabilities in the standard Normal tables?
What are the exponential density function and its expected value?

Sample Solution

 

Concepts of Module 2 are embodied into questions shown below. ((Try to answer at least 5 of them)). For those questions you’re unable to answer, describe the challenges that prevent you from doing so (((do this for at least 2 questions))). Each student is required to participate as this discussion gives you the opportunity to earn discussion credits. Participation means posting own threads and reacting to other students’ postings(( reply to 3 students ))* I will send you their posts once they submit the work* . Postings like I agree, yes, no, etc. do not count.

Describe the following concepts: random experiment, outcome, event, probability, and sample space.

What is the difference between objective and subjective probabilities?
What is the difference between empirical probability (i.e. relative frequency) and classical approaches to the calculation of probabilities?
What is the differences between union of events, intersection of events, and complement of an event?
What is the difference between exhaustive events and mutually exclusive events?
What is the difference between unconditional and conditional probability?
What is the difference between dependent and independence of events?
What is contingency table?
Describe each of the following rule: addition rule, multiplication rule, complement rule, and total probability rule.
What is the Bayes’ theorem?
What is the difference between discrete and continuous random variables?
What are the 2 key properties of a discrete probability distribution?
What are the expected value and the variance of a discrete random variable and how are they calculated?
What are the conditions of the Bernoulli process (i.e. binomial experiment)?
What are the 2 parameters of a Binomial distribution and its probability distribution function?
What are the expected value, variance, and standard deviation of the Binomial distribution?
What are the conditions of a Poisson experiment?
What are the Poisson probability distribution function, its expected value, variance, and standard deviation?
What is the parameter of the Poisson distribution?
What is the difference between the Binomial and the Hypergeometric distributions?
What are the Hypergeometric probability distribution function, its expected value, and variance?
What is the difference between probability distribution function and probability density function?
What is the continuous Uniform probability distribution?
Why is the probability that a continuous random variable takes on a specific value is zero?
What are the continuous Uniform’s probability density function, its expected value and standard deviation?
What are the characteristics/properties of a Normal distribution?
What is the standard Normal distribution and how can it be used to look up probabilities in the standard Normal tables?
What are the exponential density function and its expected value?

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