The following excerpt is from an article in The New York Times in July 1999.+While statistics are not available for web entrepreneurs who fail, the venture capitalists that finance such Internet start-up companies havea rule of thumb. For every 10 ventures that receive financing and there are plenty that do not-2 will be stock market successes, whichmeans spectacular profits for early investors; 3 will be sold to other concerns, which translates into more modest profits; and the rest willfail.(a) What is a sample space for the scenario?S = {Web entrepreneurs, Venture capitalists, Internet start-up companiesS = {Web entrepreneurs, Venture capitalists, Ventures}S = {2, 3, the rest}S = {10, 2, 3}o S = {Stock market success, Sold to other concerns, Fail}Great job!(b) Write down the associated probabilityfirst entry of SOutcomeProbability 2/10stribution.Good job. 3/10second entry of SGood job! 5/10third entry of SExcellent!(c) What is the probability that a start-up venture that receives financing will realize profits for early investors?0.2X

Given that The following excerpt is from an article in The New York Times in July 1999.While…

Answered: The following excerpt is from an…

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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One of the most impressive, innovative advances in online fundraising over the past decade is the rise of crowd-funding websites. While features differ from site to site, crowd-funding sites are websites that allow you to set up an online fundraising campaign based around a fundraising page, and accept money directly from that page using the website's own credit card processor. A certain crowd-funding website reported that 131 of 357 technology crowd-funding projects were successfully launched in the past year and 345 of 872 film and video crowd-funding projects were successfully launched in the past year. a. Is there evidence of a significant difference in the proportion of technology crowd-funding projects and film and video crowd-funding projects that were successful? (Use α = 0.01.) a) State the null and alternative hypotheses, where π1 is the population proportion of successful technology crowd-funding projects and π2 is the population proportion of successful…
The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit?
Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 45% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 5 customers at Anita's, exactly 3 order their food to go?
Part 1: The state of Maryland's arrest rate for marijuana possession in 2010 was the fourth highest in the nation. Public records for that year show that police arrested one out of every 250 Maryland residents for possession of marijuana. In addition, while Black people only comprised 30% of the State's population in 2010, 58% of those arrested for marijuana possession were Black. Use the following labels for events describing Maryland residents in the year 2010. M-AMP: Maryland resident was arrested for marijuana possession M-B: Maryland resident was a Black person a) What is the probability that a Maryland resident was arrested for marijuana possession in 2010? b) Use probability notation to express the cited percent values. 30% = P( 58% = P( c) Which of the values cited should be compared to determine whether race and arrests for marijuana possession in the state of Maryland in 2010 are independent?
College admissions For high school students graduatingin 2007, college admissions to the nation’s most selectiveschools were the most competitive in memory. (The NewYork Times, “A Great Year for Ivy League Schools, butNot So Good for Applicants to Them,” April 4, 2007).Harvard accepted about 9% of its applicants, Stanford10%, and Penn 16%. Jorge has applied to all three.Assuming that he’s a typical applicant, he figures that hischances of getting into both Harvard and Stanford mustbe about 0.9%.a) How has he arrived at this conclusion?b) What additional assumption is he making?c) Do you agree with his conclusion?
Razor LLC has a data warehouse that is used by several analytics groups. The data warehouse consists of a number of distinct components, including a cloud server (99.999% availability), a database management system server (99.4%), an analytics logic server (94.7%), and, of course, the network infrastructure to the cloud server, which has an availability of 99.9%. What is the overall availability of the system, expressed as a percentage with three digits of precision? For example, enter 91.223, but do not enter a percent symbol, i.e., do not enter 91.223%
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