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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5. An office manager is looking to purchase a new printer for his office. He has narrowed his choices down to four printers but cannot decide which of the four he prefers. He has decided to choose two of the four printers at random, and then to let the other members of the office decide which of the two they prefer. The speeds, in pages per minute, of the four printers are 25, 30, 27, and 32. Considering the speeds of the two printers chosen to be the sample, what are the mean and the standard deviation of the sample mean?
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?
Question: In the entrepreneur project competition. You are chief guest of the competition and you have to pickthe top 4 paintings out of 10. Since the order is important. In how many different ways of picking the top three entrepreneur projects.
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.)
Explain thoroughly
1. Read and analyze the following problems. Write your solution on a sheet of paper. The coach of the winning basketball team chooses 3 of the 15 members to be interviewed by a sports reporter. In how many ways can the members to be interviewed be chosen? A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker hands containing all face cards are possible? 2. 3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? a. 5 people regardless of gender b. 3 females and 2 males C. at least 3 females d. 4 females and 1 male e. 5 females 4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deck of cards with three of a kind and two of a kind. How many full houses are possible?
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
A coin is tossed 3 times. What is the total number of all possible outcomes if there is exactly two heads in a row?

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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?