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A rapid test for the presence in the blood of antibodies to HIV, the virus that causes AIDS, gives a positive result with probability about 0.004 when a person who is free of HIV antibodies is test
The count of correct guesses in 20 cards has a binomial distribution. What are n and p? What is the mean number of correct guesses in many repetitions of the experiment? What is the probability of exa
Virginia is the star player on her middle school basketball team. If she makes 3 free throws and misses 2 free throws during a game, in how many ways can you arrange the sequence of hits and misses?
Using this data 25.5,26.1,26.8,23.2,24.2,28.4,25,27.8,27.3 and 25.7, construct a 95% lower confidence interval on mean battery life.
Suppose you're given a data set that classifies each sample unit into one of four categories: A, B, C, D. You plan to create a computer database consisting of these data
Do the data provide sufficient evidence to indicate a difference in mean times to absorption to indicate a difference in mean times to absorption for the two drugs? Test using ? = 0.05. Find the ap
According to the 2003 Law Enforcement Management and Administrative Statistics (LEMAS) survey, there was a mean of 1.32 (s = .85) officers per 1,000 citizens across the 201 cities with populations b
Find the mean and variance of W , without yet deriving the PDF. Show that the distribution of W is symmetric about 0, without yet deriving the PDF.
They both arrive independently with Beta(a = 2, b = 2) distributed times, where the r.v. represents the number of hours after noon. What is the probability they will meet for lunch that day? Hint: i
Draw the tree for Red Cat's decision problem and determine the optimum decision based on expected values. Include the possibility of launching or not:
The time between arrivals of large comets on earth is exponentially distributed with a mean of one year. What is the shorterst periof of time during which you have at least 90% probability of seeing a
Within what limits should the middle 99% of the individial parts be? Within what limits does the middle 99% of the sampling distribution for samples of size 4 fall?
A political pollster randomly selects a sample of 100 voters each day for 8 successive days and asks how many will vote for the incumbent. The pollster wishes to construct a p chart to see if the pe
Use the ATAR model to determine the potential market share for a product concept assuming that it will achieve a trial rate of 25%, 80% awareness in the market, and 65% availability in stores.
Therefore it is an experiment of comparing three populations by selecting independent samples. Use a Kruskall- Wallis test to test the null hypothesis that the populations have the same median, with
If one student is chosen at random, Find the probability that the student was female GIVEN they got a 'A'.
Suppose you roll a special 28-sided die. What is the probability that the number rolled is a "1" OR a "2"? Suppose that 23% of people own dogs. If you pick two people at random, what is the probabilit
Giving a test to a group of students, the grades and gender are summarized below
If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated. Report the answer as a percent rounded to one decimal place accuracy. You need not enter
It s claimed that 65% of the cars on the Valley Highway are going faster than the 65 mph speed limit. A random sample of 25 cars was observed under normal driving conditions with no police car in si
Can students save money by shopping for textbooks at Amazon.com? To investigate this possibility, a random sample of textbooks used last semester at a local university was selected. The prices for t
In the linear programming formulation of the shortest route problem, there is one constraint for each node indicating
Based on historical data, your manager believes that 30% of the company's orders come from first-time customers. A random sample of 109 orders will be used to estimate the proportion of first-time-c
A researcher wants to construct a 98% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced price school lunches.
A marketing research company needs to estimate which of two soft drinks college students prefer. A random sample of N college students produced the followings 98% confidence interval for the proport