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Find Poisson approximations to the probabilities of the following events in 500 independent trials with probability 0.02 of success in every trial 1 success.
You thoroughly mix together two standard decks of 52 cards (so you have now a big deck of 104 cards). You randomly draw 2 cards from this big deck. What's the probability that the sum of the 2 car
A simple random sample of size 1000 is taken of this city. Find the probability that at least 500 people in the sample are men.
What lifetime should the manufacturer advertise for these lamps in order that only 2% of the lamps will burn out before the advertised lifetime?
A box contains 10 balls numbered 1,2,...,10. Two balls are selected at random without replacement. Find the probability that the numbers on both balls are odd.
The high temperatures for a random sample of 6 days in July are: At Alpha = .10, is there sufficient evidence to conclude that the standard deviation is less than 10 degrees?
An outbreak of food-borne illness was attributed to Salmonella. Epidemiologists determined that the outbreak was caused by ice cream from one company. They sampled 9 production runs and found the l
The average wind speed in Casper has been found to be 12.7 mph and in Tucson it has been found to be 6.2 mph. To test the relationship between the averages, a sample of 31 days was selected from each
Is there sufficient evidence, at Alpha = .05, to conclude that the average wind speed is greater in Casper than in Tucson?
A farmer loses $60,000 when the summer is too dry and makes $100,000 when the growing season is moderate. The probability of the growing season being too dry is 35%. What is the expectation for p
Assume that the population of heights of male college students is approximately normally distributed with mean. Find the proportion of male college students whose height is greater than 70 inches.
The amount of distilled water dispensed by a certain machine is normally distributed with mean value 64oz and standard deviation .78oz.
The monthly starting salaries of students who receive an MBA degree have a standard deviation of $110. What size sample should be selected to obtain a .925 probability of estimating the mean mon
Suppose a sample of 100 women is chosen at random. what is the probability that the mean duration of these pationts is less than 270 days?
The life expectancy of a common brand of battery is normally distributed with a mean of 400 hours and a standard deviation of 120 hours.
Develop a regression model to identify the fixed overhead costs to the consulting group.
Suppose that the number of flaws in a certain type of magnetic tape is, on average, three per 500ft. Assuming a Poisson distribution, what is the probability that a tape of length 800ft contains
Find a 95% confidence interval for the popluation proportion who are opposed tot he use of the photo-cop for issuing traffic tickets if the standard error of the estimate is 0.022.
A doctor wants to know if there is a relationship between a father's weight and his first newborn son's weight. Perform a hypothesis test at Alpha = .01, using table I, and interpret your result. If
In a large-sample test of hypothesis to compare the two means, the test statistic was computed to be z= 1.22. Compute the two-tailed p-value of the test.
A researcher claims that the standard deviation of the ages of cats is smaller than that for dogs. A random sample of 29 cats has a standard deviation of 2.7 years and a random sample of 16 dogs has
A sample of 40 CD's from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the mean. Assume all stat
A regression line was calculated as y' = 42.5 + 3.1 x. What is the predicted value of y' when x = 2.5 ?
A basketball coach claims that by taking a "special" vitamin, a weight lifter can increase his strength. Eight players are selected and given a test of strength. After two weeks of training, supplem