Hypergeometric distribution

Reference no: EM1394564

Suppose that in a population of 10 items, 3 are defective and 7 are not. Suppose that two items are chosen at random for inspection. Let X be the number of defective items inspected. report all probabilities to a minimum of 5 decimal places of accuracy.

(a) Clearly explain why X does not have a binomial distribution. [Hint: Which of the binomial conditions is not satisfied here?]

(b) What kind of distribution does X have? List all possible values of X and their probabilities.

(c) Now suppose that instead of sampling from a population of 10 items with 3 defective, we sample from a population of 100 items with 30 defective and 70 not. suppose that two items are chosen at random for inspection. Let X2 be the number of defective items inspected. What kind of distribution does X2 have? Find the complete probability distribution of X2.

(d) repeat(c) for a population of size 1000, with 300 defective and 700 not. (e) repeat(c) for a population of size 10,000, with 3000 defective and 7000 not. (f) Determine the probability distribution for binomial distribution with n = 2 and p = 0.3. how does this distribution compare to the ones found in parts (b),(c),(d) and (e)? explain in much detail as possible why this makes sense.

Reference no: EM1394564

Questions Cloud

First law of thermodynamics : Which curve in the graph on the right represents a bacterial enzyme with an optimal temperature of 78°C? The first law of thermodynamics states that:

How phenomena of prosocial behavior-pure altruism associated : Explain how phenomena of prosocial behavior and pure altruism associate to each other and how they vary from each other.

Data collection by cell phones-random sample of households : A cell phone company collects data from a random sample of 500 households. The results indicate that 135 of the households would add an extra cellular number, provided it was offered at a reduced monthly cost.

Explain history of organized crime in united states : "The History of Organized Crime in United States". Can you provide with a basic outline as to how to carry out research. Research in the specific order to have the strong foundation.

Hypergeometric distribution : Suppose that in a population of 10 items, 3 are defective and 7 are not. Suppose that two items are chosen at random for inspection. Let X be the number of defective items inspected. report all probabilities to a minimum of 5 decimal places of acc..

Mean of the sampling distribution : What is the mean of the sampling distribution? What is the standard deviation of the sampling distribution? What is the probability that the mean tuition and fees of the sample is greater than $20,000?

Population mean waiting time : At the 0.05 level of significance, is there evidence to suggest that the population mean waiting time to check out is less than 10.73 minutes?

How caffeine cause a muscle fiber : How can caffeine cause a muscle fiber to contract and generate force, but without generating an end plate potential or action potential of the membrane?

Analyze the pros and cons of cash : Analyze the pros and cons of cash, stock, and combined stock/cash acquisitions and propose the method that minimizes taxes. Support your proposal with examples.

User Account

All Pages