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At time 0 a box contains one pen and one pencil. At each time n after, a item is chosen at random from the box and put back in together with one more item of the same type. (if a pen is drawn, then 2 pens go back into the box.) Let Xn denote the proportion of items at time n that are pens. We can prove that X_n is a Martingale, but show weather or not it converges.
question in a city in italy 30 of the families have a mastercard 20 have an american express card and 25 have a visa
Choose a new car or light truck at random and note its color. Here are the probabilities of the most popular colors for vehicles. Choose two vehicles at random. What is the probability that both are silver or both are white?
Illustrate what does weighting add to usefulness of moving averages and explain how is it done. The yield on a thirty year treasury note at the end of every year since 1990 is recorded below.
If the z score is less than 0, what can be said of the corresponding raw score?
At the 0.05 significance level, is there a difference in the proportion of viewers watching the three channels? State the null and alternative hypothesis. Identify the level of significance: Given at 0.05
To conduct a follow-up study that would provide 95% confidence that the point estimate is correct to within plus-or-minus 0.04 of the population proportion, how large a sample size is required?
a) Test whether there is a difference between attitudes in the 2 cities. Use a 95% alpha. b) What does your result say about attitude consistency across cities?
a garage door opener has six toggle switches each with three settings up center and down.a in how many ways can the
The weights of dormitory cockroaches follow a normal distribution. 14% of the dormitory cockroaches weigh below 77 grams and 10% of them weigh above 82 grams. Find the mean and standard deviation of their weights.
An analyst wishes to include number of older siblings in family as a predictor variable in a regression analysis of factors affecting maturation in eighth graders.
According to a hospital administrator, historical records over the past 10 years have shown that 20 percent of major surgery patients are dissatisfied with after-surgery care in the hospital. A scientific poll based on 400 hospital patients has ju..
the population proportion is .30. what is the probability that a sample proportion will be within plusmn.04 of the
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