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1. * (A Waiting Time Problem). Tim, Jack, and John are going to have coffee at the local coffee shop. They will each toss a fair coin, and if one comes out as the "odd man," then he pays for all three. They keep tossing until an odd man is found. What is the probability that a decision will be reached within two rounds of tosses?
Can you generalize this with n people, a general coin with probability p of heads, and the question being what the probability is that a decision will be reached within k rounds?
2. A certain firm is looking for five qualified engineers to add to its staff. If from past experience it is known that only 20% of engineers applying for a position with this firm are judged to be qualified, what is the probability that the firm will interview exactly 40 applicants to fill the five positions? At least 40 applicants to fill the five positions?
Compare the two odds ratios in part (a). When the di¤erence is confirmed properly, we have an effect modification.Refer to coronary deaths. Calculte separately for men and women the odds ratio associated with drinking.
Problem: Screening for infectious diseases in a blood-bank setting is a major part of ensuring blood safely. At a local clinic, subject's blood donations are tested for infection. Suppose that 5 percent of all blood donations are infected n some w..
Shoveling Heart Rates Because cardiac deaths appear to increase after heavy snowfalls, an experiment was designed to compare cardiac demands of snow shoveling to those of using an electric snow thrower.
Describe a 5-step hypothesis test for two variances for a particular claim related to your work or life environment. You need to state the claim,
Find the sample size required. A pilot study showed that the population standard deviation is estimated to be 0.09 g
The fill volume of cans produced by a certain machine is normally distributed with mean 12 oz and standard deviation .03 oz. [4] a. What proportion of cans contain less than 12 oz?
In an Asian country with a population of 6 million people, 60,000 deaths occurred during the year ending December 31, 1995. . What was the cause-specific mortality rate from cholera in 1995?
the random variable x representing the number of accidents in a certain intersection in a week has the following
ten good coins are tossed simultaneously.find the probability of obtaining four heads.use the binomial distribution to
Construct a 95 percent confidence interval estimate of the average IQ score of all students at the university. Construct a 95 percent lower confidence interval estimate.
Determine the test statistic. Determine the P-value. What is the result of this hypothesis test?
consider the following shortest-route problem involving six cities with the distances given.path distance1 to 2 31 to 3
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