Approximately 17​% of Americans have completed tertiary education​. Consider a sample of 10 Americans randomly selected. Complete the​ following: What is the probability that 2 are tertiary-educated?   What is the probability that at least 1 is tertiary educated​?   What is the probability that at most 4 are tertiary educated​?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Approximately 17​% of Americans have completed tertiary education​. Consider a sample of 10 Americans randomly selected. Complete the​ following:

What is the probability that 2 are tertiary-educated?

 

What is the probability that at least 1 is tertiary educated​?
 
What is the probability that at most 4 are tertiary educated​?

If you selected a random sample of Australians in a particular city and found that 0 of the 10 people are tertiary educated​, what conclusions might you reach about whether the percentage of  tertiary educated Australians in that city was indeed 17​%?

Select the correct choice below and fill in the answer box to complete your choice.
 
A. As the probability of such a sample occurring randomly is ???​,
there is no reason to question the given percentage for this city as the probability indicates that such a percentage
is reasonable.
 
B. As the probability of such a sample occurring randomly is ???​, there is reason to question the given percentage for this city as the probability indicates that such a percentage is not reasonable.
 
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