Exam 5: Discrete Distributions

A market research team compiled the following discrete probability distribution. In this distribution,x represents the number of automobiles owned by a family. Which of the following statements is true?

The variance of a discrete distribution increases if we add a positive constant to each one of its value.

The probability of selecting 2 baseball players and 3 basketball players for an intermural competition at a small sports camp would best be modeled with the _______.

The number of bags arriving on the baggage claim conveyor belt in a 3 minute time period would best be modeled with the _________.

A student randomly guesses the answers to a five question true/false test.If there is a 50% chance of guessing correctly on each question,what is the probability that the student misses exactly 1 question?

The Poisson distribution is being used to approximate a binomial distribution. If n=30 and p=0.03,what value of lambda would be used?

The volume of liquid in an unopened 1-gallon can of paint is an example of _________.

The Poisson distribution is a continuous distribution which is very useful in solving waiting time problems

Poisson distribution describes the occurrence of discrete events that may occur over a continuous interval of time or space.

The age of the employees in a given company,measured in whole number of years,is an example of _______.

Aluminum castings are processed in lots of five each. A sample of two castings is randomly selected from each lot for inspection. A particular lot contains one defective casting; and x is the number of defective castings in the sample. P(x=1)is _______.

The Poisson distribution is being used to approximate a binomial distribution. If n=60 and p=0.02,what value of lambda would be used?

Circuit boards for wireless telephones are etched,in an acid bath,in batches of 100 boards. A sample of seven boards is randomly selected from each lot for inspection. A particular batch contains two defective boards; and x is the number of defective boards in the sample. P(x=2)is _______.

Epsilon Manufacturing Company makes a specialized electronic product used in the automotive industry.This product has 4 components,each of which could be defective.So the total number of defects of this product can be 0,1,2,3,or 4.The following table provides the probabilities of the number of defects: The mean number of defects is _______.

The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.

Aluminum castings are processed in lots of five each. A sample of two castings is randomly selected from each lot for inspection. A particular lot contains one defective casting; and x is the number of defective castings in the sample. P(x=0)is _______.

In a hypergeometric distribution the population,N,is finite and known.

Twenty five individuals are randomly selected out of 100 shoppers leaving a local bedding store.Each shopper was asked if they made a purchase during their visit. Each of the shoppers has the same probability of answering 'yes' to having made a purchase.The probability that exactly four of the twenty-five shoppers made a purchase could best be found by _______.

The amount of time a patient waits in a doctor's office is an example of a continuous random variable

For a binomial distribution in which the probability of success is p = 0.5,the variance is twice the mean.