Exam 5: Discrete Probability Distributions

The binomial probability for P(1 < x < 3), where n = 30, p = .01 is .2601.If you use the Poisson distribution to approximate this binomial probability, what probability would you produce?

The number of customers that enter a store during one day is an example of:

One of the conditions for a Poisson experiment is the need to assess probability for the number of occurrences of some event per unit .

During a meteor shower, 'shooting stars' occur at an average rate of 12 per minute or .2 per second.Assume all the Poisson conditions are met.What is the probability of between one and three 'shooting stars' in a 20-second time interval?

The following probability distribution represents the number of vehicles available for use by a randomly selected US household.To simplify matters, the category "three or more" is replaced by "3" (Source: US Census, American FactFinder).Calculate the expected value of the number of vehicles available per household.

One of the conditions for a Poisson experiment is that the average number of occurrences per unit of time, space, or distance is constant and proportionate to the size of the unit of time, space, or distance involved.

If Z represents the sum of two discrete random variables X and Y,

In a study of NBA basketball games, it was reported that there are, on average, .3 fouls committed per minute.Assume all the Poisson conditions are met.Determine the probability of more than 2 fouls in a randomly selected 4-minute interval.

In recent years, 30% of the patent applications submitted to the US Patent Office have been approved.Assuming that this same rate holds in the future, if 15 new applications are submitted this year, how likely is it that between 11 and 13 (inclusive) applications will be disapproved?

Car Sounds sells and installs high-end sound systems for cars.10% of the systems that the company installs need to be re-installed because of faulty first-time installation.You plan to randomly select 20 of Car Sounds' recent installations.In this sample, there's less than a 2% chance that more than what number of the systems will have to be re-installed.

Which of the following is the second step involved in building a discrete probability distribution?

One of the conditions for a binomial experiment is that the probability of success on any one trial changes throughout the experiment.

Which of the following is the first step involved in building a discrete probability distribution?

It is reported that 23% of the home mortgages in Cowlitz County are "underwater".For 50 randomly selected home mortgages, compute the standard deviation of the random variable "number of underwater home mortgages" in the sample of 50.Assume all the binomial conditions are met.

During a meteor shower, 'shooting stars' occur at an average rate of 12 per minute or .2 per second.Assume all the Poisson conditions are met.What is the probability of exactly one 'shooting star' in a randomly selected second?

The following probability distribution represents the number of bedrooms in a randomly selected US household.To simplify matters, the category "five or more" is replaced by "5" (Source: US Census, American FactFinder).Calculate the expected value of the number of bedrooms per household.

Seven percent of the potential customers visiting Gadget.com's website make at least one purchase: 4% purchase item A, 5% purchase item B, and 2% percent purchase both.If you define "number of items purchased by a website visitor" as a random variable, which set of probabilities would be used to form the probability distribution for this random variable?

The calculations for the expected value (mean) and variance of a discrete probability distribution are essentially identical to those for a :

A would be an appropriate way to describe the outcome of which of an experiments that involves the number of points a soccer team makes in its next game.

Which of the following is a condition for a Poisson probability experiment?