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 have a rule of thumb. For every 10 ventures that receive financing-and there are plenty that do not-2 will be stock market successes, which means spectacular profits for early investors; 3 will be sold to other concerns, which translates into more modest profits; and the rest will fail. (a) What is a sample space for the scenario? S = {Web entrepreneurs, Venture capitalists, Internet start-up companies} S = {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 probability distribution. first entry of S Outcome Probability 2/10 ✓ Good job. 3/10 second entry of S ✓ Good job! 5/10 third entry of S ✓ Excellent! (c) What is the probability that a start-up venture that receives financing will realize profits for early investors? 0.2 X

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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 have
a rule of thumb. For every 10 ventures that receive financing and there are plenty that do not-2 will be stock market successes, which
means spectacular profits for early investors; 3 will be sold to other concerns, which translates into more modest profits; and the rest will
fail.
(a) What is a sample space for the scenario?
S = {Web entrepreneurs, Venture capitalists, Internet start-up companies
S = {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 probability
first entry of S
Outcome
Probability 2/10
stribution.
Good job. 3/10
second entry of S
Good job! 5/10
third entry of S
Excellent!
(c) What is the probability that a start-up venture that receives financing will realize profits for early investors?
0.2
X
Transcribed Image Text: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 have a rule of thumb. For every 10 ventures that receive financing and there are plenty that do not-2 will be stock market successes, which means spectacular profits for early investors; 3 will be sold to other concerns, which translates into more modest profits; and the rest will fail. (a) What is a sample space for the scenario? S = {Web entrepreneurs, Venture capitalists, Internet start-up companies S = {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 probability first entry of S Outcome Probability 2/10 stribution. Good job. 3/10 second entry of S Good job! 5/10 third entry of S Excellent! (c) What is the probability that a start-up venture that receives financing will realize profits for early investors? 0.2 X
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