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What is the probability that both Babe and Benji consumed the same number of cherries with seeds? Given that Benji consumed exactly two cherries with seeds, what is the probability that Babe consumed
The number of earthquake tremors in a 12-month period appears to be distributed as a Poisson random variable with a mean of 6. Assume the number of tremors from one 12-month period is independent of
Is the probability of dying if you are diagnosed with bladder cancer independent of the probability of dying from cancer if diagnosed with cancer? Why or why not?
In the game of craps (dice table) the simplest bet is the pass line. The probability of winning such a bet is .493 and the payoff is even money, i.e., if you win you receive $1 more for each dollar
Can the data categorized below be observations from a binomial distribution with number of trials 8? State the appropriate null and alternative hypotheses and carry out the appropriate CHi-squa
The lawyer calculates his average commuting time for one five day work week and obtains 27.2. Assuming this to be a random sample, what is the probability a weekly average is 27.2 or less?
The mean delivery time for an auto parts delivery company ranges from 15 minutes to 75 minutes. How many delivery times must be sampled for the company to estimate their mean delivery time to within
A researcher wishes to estimate the average amount of money a person spends on lottery ticket each month. A sample of 50 people who play the lottery found the mean to be $19 and standard deviation 6
Construct a 99% confidence interval for the true difference in proportion of women who were deemed healthy with taking Prozac or a placebo.
Use the appropriate test with alpha = 0.01 to determine if we can conclude that the mean life of the bulbs is smaller than 800 hours? Write the conclusion in the context of the problem including the
How large a sample should be taken if in a prior survey of Canadians, 70% were in favour of the Kyoto Protocol? If no estimate of the sample proportion is available, how large should the sample be?
An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research department at the company took a sample of eight cars of this model and
A normal distribution has a mean of 500 and a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated val
What NCAA college basketball conferences have the higher probability of having a team play in college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (
Given the following data on the number of pints of ice cream sold at a local ice cream store for a 6-period time frame:
Consider a (discrete-time) Markov chain {Xn} on the state space S = {1,2,3,4} with transition probabilities given by
An inspector correctly identifies defective products 90% of the time. For the next 10 products, the probability that he makes fewer than 2 incorrect inspections is 0.736.
The average annual salary for federal government is $41,979. Use this figure as the population mean and assume the population standard deviation = $5,000 Suppose that a random sample of fifty federa
Their scores on the test are 15, 14, 20, 20, 25, 22, 21, 19, 16, 17, 21, 22. What statistical test should be used to analyze the data?
A game is said to be fair if the expected value for winnings is 0, that is, in the long run, the player can expect to win nothing. Consider the following game. The game costs $1 to play and the winn
You have made 72 payments and wish to know how much you owe on the mortgage, which you are considering paying off with the lottery money you just won. How much money do you need to have won to pay o
A random sample of 900 refrigerators contains 79 defective units. Estimate the process fraction nonconforming. What is the distribution of nonconforming units? Can this be approximated? With what?
At a large university it is known that 40% of the students live on campus. The director of student life is going to take a random sample of 200 students. What is the probability that more than half
You work for a large international oil company searching for oil off the coast of Australia, not too far from Melbourne. Your firm has acquired drilling rights, and you are contemplating your firm's