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what is the probability that a binomial random variable, X, having parameters n = 500 and p = 0.025, takes a value greater than 2? what is the probability that X exceeds 4 if it is known that X exce
An artist sells her works at the East Lansing Art Festival. Suppose that 5% of those who stop by her booth will buy a piece of art, and that those who stop by arrive in random order and make buying
Approximately what proportion of the area under a normal curve with mean ? and standard deviation ? falls to the right of ?+2??
How many standard deviations from the mean would a car going under the speed limit be?
Find the standard deviations of the random variable. options: A) 6 B) 7 C) 10 D) 19
The mean number of errors per page made by a clerk in the word processing pool of a bank is thought to be 2.8 with the number of errors distributed according to a Poisson distribution. If a page is
You play two games against the same opponent. The probability that you win the first game is 0.4. If you win the first game, the probability you also win the second is 0.2. If you lose the first gam
An insurance policy costs $100 and will pay policyholders $10,000 if they suffer a major injury or $3000 if they suffer a minor injury. The company estimates that each year 1 in every 2000 policy ho
A commuter must pass through five traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits. X=# of R
Consider an m state Markov chain with transition matrix pij. Note, as usual, the sum of the entries in any row add to one. The transition matrix is called doubly stochastic the transpose is also a s
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 30% of the cameras sold have been of the basic model. Of those buying the basic model,
Seventy-eight percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 65% have an emergency locator, where
An educational psychologist is interested in determining whether attitudes toward school change with age. She randomly selects 30 seventh-graders, 30 ninth-graders, and 30 11th-graders and administe
Assuming that the 1 in 11 billion figure is correct and that results of different divisions are independent of one another, what is the probability that at least one error occurs in one billion divi
Sixty percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive vehicles pass or fail independently of one another, calculate the follo
An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European projec
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 30% of the cameras sold have been of the basic model.
This compared with 72 males in 145 "purebred" offspring of matings between members of the same species. Is the proportion of males and females different in the purebred offspring than in the hybrid
What is the expected value to take insurance? What is the expected value to decline insurance? What is the probability of no accident? What is the probability of a major accident?
Develop a payoff (cost) table for this situation. What decision would Beverly make if she were optimistic? What decision would Beverly make is she were pessimistic?
The chief accountant provides the CEO with a table of historical revenues. What has been the growth rate of revenue over the eight years? (Do not put your answer in a percentage. Round to 4 dec
For Sam's project, he wants to determine whether men carry more change than women, at the 0.10 level of significance.To accomplish same, he obtains samples of five men and five women and collects th
Doug needs to construct a 98% confidence interval for the mean diameter of 3 inch schedule 40 drain pipe. He samples 25 pipes at the local home goods store. The sample has a mean of 2.897 inch with