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a. There are six contestants in a race. The winner receives a gold medal, second place a silver medal and third place a bronze medal. How many ways can these three medals be awarded among the six contestants? If you use a formula to answer this question, explain why the formula is the correct one to use.
b. Suppose I have three, identical copper medals. How many ways can I give a copper medal to six people? If you use a formula to answer this question, explain why the formula is the correct one to use.
5) 4.4
At the supermarket, there are five types of apples available to buy.
a. If exactly two are placed in a bag, how many different ways are there to pack a bag of apples?
b. If any formulas are used, describe them and why they are the correct ones to use.
c. List all the ways explicitly using appropriate symbols for each of the six apples.
An urban economist wishes to estimate the proportion of Americans who own their homes. What size sample should be obtained if he wishes
Compute sample proportions and then construct confidence interval estimates for each nation at the 95% level.
The average number of customer complaints at the Full Moon Motel is five per day. Find the probability that on a typical day, the motel will receive
Assume a researcher compared the performance of two independent groups of participants on an ordinal variable using the Mann-Whitney U test.
He must choose four of the six courses available in his major discipline and three of the four courses offered in related subjects - In how many ways can Prashad list his course choices? Explain the reasoning for your answer.
The length of country and western songs is normally distributed and has a mean of of 170 seconds with a standard deviation of 49 seconds.
Compute the following probabilities: b) If X is distributed t120, find Pr(-1.99
Find 95% confidence intervals for the average number of pegs that males and females can each place.- Those intervals overlap. What does this suggest about any sex-based difference in manual agility?
You wish to learn the average age of an MBA student within 2 years and with 99% confidence. How large of a sample should you get?
How much difference does the choice of model make? Which forecasts do you trust the most, and why? (f) If you have access to Ward's Automotive Yearbook, check your forecasts.
The US census collects data on race and ethnicity of Americans, among many other variables. The histogram below shows the distribution.
How many possibilities are there for selecting the three winners recognizing the importance of their placement with respect to being first, second or third?
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