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a. In a class roster of 18 students, what are the chances that there are at least 2 people with the same birthday (same day, not same year)? Given a birthday of July 29th, please provide a detailed analytical estimate of the likelihood that this will happen.
b. A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other. He puts the cards in the bag, pulls out one, and puts it on the table. Both of you can see that the card is blue on top, but haven't seen the other side. The street performer bets you $50 that the other side of the card is also blue. Should you take the bet and why?
A study of the time spent shopping in a supermar- ket for a market basket of 20 specific items showed an approximately uniform distribution between 20 minutes and 40 minutes. What is the probability that the shopping time will be:
Formulating null and alternative hypothesis to test the claim averaging about $5000.
Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the population of the running times is normally distributed.
A health magazine presented results of a recent study that analyzed data collected by the U.S. Census Bureau in 2000. Results reveal that for both men and women in the United States, heart disease remains the number one killer, victimizing 500,000..
Estimate the 95% confidence interval for the proportion of the electorate that support this policy.
A 95% confidence interval for the proportion of all adults who bought a lottery ticket in the past year is (assume Gallup used an SRS)
Assuming that students make their decisions independently, the number who accept has the B (1200, 0.75) distribution. If this number is less than 950, the college will admit students from its waiting list.
Make a point estimate of the population mean difference in endurance after taking the herbs. Make a 95% confidence interval estimate of the population mean difference.
Find out the decision strategy company must follow, expected value of strategy, and maximum amount the company must pay market research firm for survey results.
Robinson & Associates performs employment screening for large companies in southern California. It usually follows two-step process. First potential applicants are given a test that covers basic knowledge and intelligence. If applicants score b..
Using the .10 level of significance, can we conclude that the assembly time using the new method is faster?
A random sample of n = 4 scores is selected from a population with µ = 80 and σ = 20. On average, how much difference would you expect between the sample mean and the population mean?
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