5. Consider a competition with 12 competitors. Suppose that finally one of them would beawarded a gold medal, one will get a silver medal, and three will get a bronze medal. What isthe number of possible outcomes for the awards?

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Answered: 5. Consider a competition with 12…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4) You know that 70 percent of the subs at theme parks in the US are yellow. There are 220 subs in theme parks in the US. You are in a contest where you select sub names from a hat and record the name of the theme park sub. (No replacement ). You win a prize if you select a greater percentage of yellow subs than 90% of your many many competitors. What percentage of yellow subs do you need to select?
A child is building a tower with colored bricks. She has 22 bricks: 6 yellow, 6 blue, 1 green, and 9 red. She selects a brick at random to stack on the tower. Enter all answers as decimals and round to four places.
9. In a batting cage, a young future slugger is swinging for the cheap seats-counting the number of pitches from one "home run" (in her mind) to the next: for instance, if she counts 4, it means it took her 4 pitches to get her first home run after she hit the last one. For 20 independent "home runs," her counts were: 3, 6, 2, 16, 12, 4, 4, 5, 15, 11, 3, 3, 2, 1, 8, 11, 5, 1, 2, 1. Assuming that these data can be looked upon as a random sample from a geometric population, a) Derive the maximum likelihood estimator for the geometric distribution's parameter 0. b) Estimate the parameter for the population the given sample was drawn from. Interpret your result (this interpretation should include what the pertinent population is for this problem; what, then, the parameter would represent, etc.)
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In a class there are 4 students who are 19 years old and obtained 80 pints in the midterm. There are 6 students who are 19 years old and obtained 50 pints in the midterm. There are 6 students who are 20 years old and obtained 80 pints in the midterm. There are n students who are 20 years old and obtained 50 pints in the midterm. There are no other students. We randomly pick a student in the class, let their age be X and their score by Y. If we are given that X, Y are independent random variables, then compute n.
A survey of magazine subscribers placed 61 celebrities in 3 categories. 36 were on the most powerful list. 30 were on the most liked list. 22 were on the most intelligent list. 5 were on all three lists. 16 were on the most powerful and most liked lists. 12 were on the most powerful and most intelligent lists. 9 were on the most liked and most intelligent lists. How many were only on the most intelligent list? How many were on none of the lists? were only on the most intelligent list. were on none of the lists, C

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5. Consider a competition with 12 competitors. Suppose that finally one of them would be awarded a gold medal, one will get a silver medal, and three will get a bronze medal. What is the number of possible outcomes for the awards?