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Suppose that on a certain examination in advanced mathematics, students from university A achieve scores which are normally distributed with a mean of 625 and a variance of 100, and that students from university B achieve scores which are normally distributed with a mean of 600 and a variance of 150. If two students from university A and three students from university B take this examination, what is the probability that the average of the scores of the two students from university A will be greater than the average of the scores of the three students from university B?
A cohort study was designed to look at the association of pesticides and the occurrence of childhood leukemia. Children living in rural areas were followed and leukemia rates were compared between those children living in areas with high and low p..
Calculate the probability that a random sample of 40 children's full-length movies produces an average length of 85 minutes or more.
If each sample consisted of eight individuals and the value of the ANOVA F statistic was F = 4.37, what conclusion would be appropriate for a test with a = .01?
Determine the point estimators (in thousand hours) for the above data - Construct a 95% confidence interval for the true mean lifespan of X.
a psychologist has developed a new method designed to help people taking an exam. the method requires the person to
What fraction of the calls last between 4.2 and 5 minutes?
The population are shorter than 66 inches, what is the probability a randomly selected member of this population is between 66 and 76 inches tall?
Ten employees of a company drive their cars to the city each day and park randomly in ten spots. What is the (classical) probability that on a given day Jim.
1.students at university x must be in one of the class ranks freshman sophomore junior or senior. at university x 35 of
A treasure chest contains 5 rubies, 8 diamonds, 7 emeralds, and 4 sapphires. If you pick a gem at random, what is the probability of choosing a ruby?
given the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.
Suppose we generate a random variable X in the following way. First we ?ip a fair coin. If the coin is heads, take X to have a Unif(0,1) distribution. If the coin is tails, take X to have a Unif(3,4) distribution.
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