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1. Sam tosses two fair dice and Fred tosses one. Sam wins if his sum is at least twice as much as Fred's score. What is the probability that Sam wins?
2. A statistics department has five assistant professors, two associate professors, and six full professors. Two of these 13 faculty members are chosen at random. What is the probability that the junior member is an assistant professor if the senior member is a full professor? It is assumed that we know that the two chosen are always of different ranks.
3. * (Lottery). In a state lottery, five numbers from 00; 01; : : : ; 49 are selected at random. Someone holding exactly those five numbers wins. For how many weeks must a couple buy tickets to have a 5% probability that at least one of them wins at least once?
give the appropriate t quantile value tdf 1 - a2 that would be used to construct a confidence interval for the mean of
A consumer group conducts crash test of new model cars. to determine the severity of damage to 2006 mazda 6s resulting from 10-mph crash into a concrete wall, the research group tests six cars of this type and assesses the amount of damage. descri..
Obtain a random sample of at least 15 mutual funds from each investment category. Determine the 3 years rate of return for each fund.
Mean and standard deviation are 584.6 and 34.28
Researchers at Pharm-X, a pharmaceutical company, are testing and comparing the effects of Drug A and Drug B on participants' allergies. The researchers are using a double-blind procedure to conduct their test.
The State Department of education requires local school districts to keep records on all students within their district. Determine if the following items are categorical or numeric variables.
Use the following information to answer the question. Suppose that a recent poll of American households about pet ownership found that for households with one pet, 39% owned a dog, 33% owned a cat, and 7% owned a bird.
Compute the 99% confidence interval for the proportion of clocks with errors in assembly and interpret this confidence interval.
Convert the frequency distribution to a cumulative frequency distribution. Develop a cumulative frequency polygon. About 60 percent of the orders were filled in less than how many days?
What percentage of personal checking account customers carry average daily balances in excess of $800? What percentage of the banks customers carries average daily balances below of $200?
find the mean of the given probability distribution. the random variable x is the number of houses sold by a realtor
Suppose that a certain college class contains 54 students. Of these, 34 are sophomores, 35 are psychology majors, and 7 are neither. A student is selected at random from the class.
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