A new surgical procedure s said to be successful 80% of the time. Suppose the operation is performed five times and the results are assumed to be independent of one another. (Round your answers to three decimal places.) USE SALT (a) What is the probability that all five operations are successful? (b) What is the probability that exactly three are successful? (c) What is the probability that less than two are successful?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 77RE
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A new surgical procedure is said to be successful 80% of the time. Suppose the operation is performed five times and the results are assumed to be independent of one another. (Round your answers to three decimal places.)

**(a) What is the probability that all five operations are successful?**

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**(b) What is the probability that exactly three are successful?**

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**(c) What is the probability that less than two are successful?**

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**(d) If less than two operations were successful, how would you feel about the performance of the surgical team?**

- ○ It would be fairly common for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would not lead one to question the skill of this surgical team.
- ○ It would be very unlikely for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would not lead one to question the skill of this surgical team.
- ○ It would be fairly common for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would lead one to question the skill of this surgical team.
- ○ It would be very unlikely for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would lead one to question the skill of this surgical team.
Transcribed Image Text:A new surgical procedure is said to be successful 80% of the time. Suppose the operation is performed five times and the results are assumed to be independent of one another. (Round your answers to three decimal places.) **(a) What is the probability that all five operations are successful?** [Text Box] **(b) What is the probability that exactly three are successful?** [Text Box] **(c) What is the probability that less than two are successful?** [Text Box] **(d) If less than two operations were successful, how would you feel about the performance of the surgical team?** - ○ It would be fairly common for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would not lead one to question the skill of this surgical team. - ○ It would be very unlikely for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would not lead one to question the skill of this surgical team. - ○ It would be fairly common for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would lead one to question the skill of this surgical team. - ○ It would be very unlikely for a team with a success rate of 80% to have fewer than two successful procedures out of five. Therefore, these results would lead one to question the skill of this surgical team.
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