Exam 5: Discrete Random Variables

The random variable x has a hypergeometric distribution,and the population contains 12 items.If you wanted to find the number of defects in a random sample of 3 selected items when the population contains 5 defects,identify the N,n,and r.

The variable Home Ownership can take on one of two values,1 if the person living in a home owns the home and zero if the person living in a home does not own the home.This is an example of a discrete random variable.

If x is a Poisson random variable with a mean of 10,what is the probability that x is greater than or equal to 2?

In the context of the hypergeometric distribution,r is

The requirement that the probability of success remains constant from trial to trial is a property of the _________________ distribution.

The expected value of the discrete random variable x is the population mean.

If in a hypergeometric distribution r is 300,N = 600,and n = 30,estimate the binomial probability of success.

A discrete variable that can often be used to describe the number of occurrences of an event over a specified interval of time or space is a ___________ random variable.

The Securities and Exchange Commission has determined that the number of companies listed on the NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month.Find the probability that no more than one bankruptcy occurs next month.

For a binomial process,the probability of success is 40 percent and the number of trials is 5.Find the standard deviation.

The mean of a hypergeometric random variable is defined as:

The binomial distribution is characterized by situations that are analogous to

Suppose that x has a hypergeometric distribution with N = 10,r = 5,and n = 3.Calculate the mean of the distribution.

X has the following probability distribution P(X): Compute the variance value of X.

The internal auditor for your company believes that 10 percent of their invoices contain errors.To check this theory,20 invoices are randomly selected and 5 are found to have errors.The claim of the auditor will be rejected.

Of all individual tax returns,37 percent include errors made by the taxpayer.If IRS examiners are assigned randomly selected returns in batches of 12,find the mean and standard deviation for the number of erroneous returns per batch.

A Poisson random variable is a continuous variable that can be used to describe the number of occurrences of an event over a specified interval of time or space.

Which one of the following statements is not an assumption of the binomial distribution?

If the number of surface nonconformities on a specific size of metal piece is the discrete random variable in question,then the appropriate probability distribution that can describe the probability of a specific size metal sheet containing 3 defects is given most likely by the _________________ distribution.

When p = .5,the binomial distribution will _________ be symmetric.