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In a small town there are 40 taxis, numbered 1 to 40. Three taxis arrive at random at a station to pick up passengers. What is the probability that the number of at least one of the taxis is less than 5?
Identify one contemporary technology (e.g., the cell phone), and discuss how it has affected the world we live in. How do you see this technology affecting nation-states as a whole?
A researcher has used a standard test in measuring the job-satisfaction scores for employees randomly selected from three departments of a large firm. Interpret the results summarized in the following Minitab output.
An advertiser of a certain brand of aspirin (let's call it Brand B) claims that it is the preferred painkiller for headaches, based on the results of a survey.
Interpret the slope and y-intercept of the line, in context.- The largest residual, with a value of -348.6, is for the town of Exeter. Explain what this value means.
Based on these findings, can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance.
Suppose that you are risk neutral and the company offers the use of their Model II machine to you for one bet for a price of $5 + 10p, for any p you choose.
Tobacco and alcohol. Are people who use tobacco products more likely to consume alcohol? Here are data on household spending (in pounds).
he probability that a pumpkin seed will germinate is 70%. A gardener plants the pumpkins in batches of 12. What is the mean of the distribution? What is the variance of the distribution?
When you have categorical variables and count the frequency of the occurrence of each category your measure of central tendency is: (a) the mean
Apply the table compression algorithm in Figure 5.22 to the table shown in Figure 5.20, presenting rows in the order 1, 5, 2, 4, 3. Compare the success of compression with the result presented in Figure 5.23.
Now that you are familiar with the basic concepts of statistics, what are some examples of when you have seen or heard statistics used inappropriately?
Prove that if X1 and X2 are jointly normally distributed random variables whose correlation coefficient vanishes then X1 and X2 are independent.
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