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A large number of people are waiting in line at Espresso Royale (as it often happens at around noon). The barista announces that he will start asking for each person's birthday, one by one, and the first person in the line whose birthday happens to coincide with one of the previous people will receive a free drink. Which position in the line has the highest chance of success?
Make the usual assumptions about independence of birthdays and 365 days in a year. If, e.g., you think that the third person in the line has the highest chance of success, enter 3 as your answer. (Hint: if n?2 is an integer, find a formula for the probability that the n-th person in the line will have the first duplicate birthday. Then write a simple program to find where the maximum is.)
SOB's systolic blood pressure is a random variable with a mean of 145 mmHG and a standard deviation of 20mmHG. If the SOB's blood pressure is taken at a randomly chosen moment
Standard deviation of 8 hours. what percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean?
The "Top Three" at a racetrack consists of picking the correct order of the first three horses in a race. If there are 10 horses in a particular race, how many "Top Three" outcomes are there?
When would you use a hypothesis test for the difference in two population proportions at your place of employment, in your education, or in politics?
The standard deviation of the sample was 6.2 weeks. Construct a 95 percent confidence interval for the population mean. Is it reasonable that the population mean is 28 weeks?
poker is a card game where a poker-hand is made up of 5 cards from a deck of 52 cards. a deck of 52 cards has four
Create a 95%confidence interval for the value of the population mean, given that their is a sample mean of 49 and a standard deviation of 3 but now found those valuesfrom a sample of only 20 observations.test the hypothesis allowing for type 1 error ..
The researcher estimated that out of the 100 students at least 50% of the students would be exposed to movies and TV w/ crude humor at least 2-4 times per week.
Carry out suitable multiple comparison procedure to determine the source of the difference.
Can you determine the exact number of days that it rained? Can you conclude anything about the number of days that it rained? Explain.
Your supervisor has asked you to conduct a survey about consumers' buying habits. For this task, you surveyed 100 men and 100 women at a local shopping mall.
Find a point estimate of the population mean. Find the 95% confidence interval of the true mean. Assume the population standard deviation was 0.8.
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