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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.)
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
Suppose that you wish to perform a nonparametric test for a difference among the medians of three or more independent populations. Which of these tests would be appropriate?
calls to the help line of a large computer distributor follow a passion distribution with a mean of 20 calls per
If the employees in this outlet has a mean of age as with variance between their ages as. Find the mean and the standard deviation of the age of employees of a fast-food in another outlet (Y).
If in fact the true mean score of all students taking the preparatory course is 522, which of the following statements is true about our hypothesis test?
Write a hypothesis about the length of words in newspapers and magazines, Design and carry out an investigation to test your hypothesis.
Find a 99% confidence interval for the true mean heart rate of all people with this untreated condition. Show your calculations.
A researcher wants to see whether the stress of final exams elevates the blood pressure of freshman women. When they are not under any unusual stress, healthy 18 year olds have a systolic blood pressure that averages mean of 120 mm Hg with a stand..
The shirt was a mesh polo shirt. Given this information, what is ths probability that the mesh polo shirt came from box 1?
Based on data from a car bumper sticker study, when a car is randomly selected, the number of bumber stickers and corresponding probabilities are shown below.
a companys manufacturing process uses 500 gallons of water at a time. a scrubbing machine then removes most of a
A bag of jelly belly candies contains the following colored jelly beans: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x.
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