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On the average five accidents per 10, 000 passing vehicles have been observed on a particular piece of road. What is the probability that, in the next interval of 10, 000 passages, between two and eight accidents will be observed? (Assume that the number of trials-possible accident situations-is sufficiently large that a Poisson approximation is valid.) Suppose a new side road entering on this road has been added and it is desired to study its influence on safety: that is, has the average accident rate increased since this road was added? This question will be studied by observing the number of accidents in the next interval of 10, 000 cars. The problem is that that number is random, and even if there has been no degradation of safety (i.e., no increase in average accident rate), there is a small probability that a large number of accidents will occur in the next interval. Suppose in this case nine accidents were observed in the 10, 000 car interval after the side-road installation. Has the average rate increased or was this just a rare occurrence of a large number of accidents with the unchanged average rate of 5? In practice this question is often answered by saying, "If the observation represents a ‘quite rare' event (say with probability of occurrence less than 5 percent) for an unchanged average rate, then ‘probably' the rate is not unchanged but increased." Is the probability of nine or more accidents with an unchanged average rate 5, small enough."
Modeling product sales. A company wants to model the total weekly sales, y, of its product as a function of the variables packaging and location.
Marsha and Bradley were married in November 2011 and they will file a joint return and claim their personal exemptions.
The data in the Excel spreadsheet linked below indicate the selling prices of houses located on corner lots ("corner-lot houses") and of houses not located.
Based on the expected value of the lottery ticket, would you pay $1 for a ticket? Round the answer to 3 decimal places. Omit the "tiny_mce_markerquot; sign in your response.)
Assuming that students make their decisions independently, the number who accept has the B (1200, 0.75) distribution. If this number is less than 950, the college will admit students from its waiting list.
conduct a one-tailed hypothesis test given the information below.a manufacturer wants to increase the shelf life of a
Suppose that you are reviewing a table of data from a study. It's stated that the table of data represents a linear relationship.
For the statistical package that you intend to use, write out how data can be entered, how random numbers can be generated.
A company has 25 cars of this model in its fleet. What is the level L such that the probability that the average NOX level for the fleet is greater than L is only 0.01?
In a random survey of 226 self-employed individuals, 20 reported having had their tax returns audited by the IRS in the past year. Estimate the proportion of self- employed individuals nationwide who've been audited by the IRS in the past year. a)..
1.a sample of 50 male and 50 female infants were put on an experimental infant formula. after two weeks the parents of
Given that 30% of US adults are smokers, find the average of the random variable X= # of smokers in a random sample of 50 residents of the USA, also find the variance and standard deviation of X.
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