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?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 35E
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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.)
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?
(d) If less than two operations were successful, how would you feel about the performance of the surgical team?
O 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.
O 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.
O 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.
O 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 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.) 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? (d) If less than two operations were successful, how would you feel about the performance of the surgical team? O 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. O 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. O 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. O 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 this surgical team.
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