Answer each question with a minimum of 40 words per question: "The Poisson distribution can be a...

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Answer each question with a minimum of 40 words per question:  	"The Poisson distribution can be a reasonable approximation of the binomial distribution." Explain why this may/may not be true.     	Describe what is meant by a binomial experiment. How do binomial experiments apply to each of the four probability distributions; 1) binomial distribution, 2) geometric distribution, 3) hypergeometric distribution and 4) poisson distribution?     	Explain the concept and application of uniform distribution.     	What is the concept of normal distribution and analyze why it is a widely used probability distribution.     	Suppose you have some data gathered from a repeated experiment. If you want to make inferences about the data collected, and knowing that it is highly unlikely that a density function will provide a perfect representation of the data, how important is it to choose a correct probability density model? Should you be concerned about the likelihood that it is highly unlikely that a density function will provide a perfect representation of the data?     	Describe the importance of Tchebysheff's Theorem to the ability to find bounds of probability.  
	
Document Preview: Answer each question with a minimum of 40 words per question:"The Poisson distribution can be a reasonable approximation of the binomial distribution." Explain why this may/may not be true.Describe what is meant by a binomial experiment. How do binomial experiments apply to each of the four probability distributions; 1) binomial distribution, 2) geometric distribution, 3) hypergeometric distribution and 4) poisson distribution?Explain the concept and application of uniform distribution.What is the concept of normal distribution and analyze why it is a widely used probability distribution.Suppose you have some data gathered from a repeated experiment. If you want to make inferences about the data collected, and knowing that it is highly unlikely that a density function will provide a perfect representation of the data, how important is it to choose a correct probability density model? Should you be concerned about the likelihood that it is highly unlikely that a density function will provide a perfect representation of the data? Describe the importance of Tchebysheff's Theorem to the ability to find bounds of probability.

David · Accepted Answer

Answer each question with a minimum of 40 words per question: 
• "The Poisson distribution can be a reasonable approximation of the binomial 
distribution." Explain why this may/may not be true.
Answer: Yes, the poisson distribution is the reasonable approximation of the binomial 
distribution. If the probability p is so small that the function has significant value only for 
very small x, then the distribution of events can be approximated by the Poisson distribution. 
Under these conditions it is a reasonable approximation of the exact binomial distribution of 
events.
• Describe what is meant by a binomial experiment. How do binomial experiments apply to 
each of the four probability distributions; 1) binomial distribution, 2) geometric 
distribution, 3) hypergeometric distribution and 4) poisson distribution?
Answer: A study that independently draws from the Bemoulli population to create a 
sequence of trials is known as binomial experimnet.  
A binomial random variable is the number of successes x in n repeated trials of a binomial 
experiment. The probability distribution of a binomial random variable is called a binomial 
distribution (also known as a Bernoulli distribution). 
         In the above situation, a geometric random variable x is defined as x = the number of      
 experiments until the first success occurs (including the success).

Answer each question with a minimum of 40 words per question: "The Poisson distribution can be a reasonable approximation of the binomial distribution." Explain why this may/may not be true. Describe...

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