When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.4 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,477 times in a given year.   (a) What is the expected number of diversions? (Round your answer to 2 decimal places.)    Expected Number_____   (b) What is the approximate normal probability of at least 364 diversions? (Round your standard deviation value to 4 decimal places and your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)    Probability______   (c) What is the approximate normal probability of fewer than 426 diversions? (Round your standard deviation value to 4 decimal places and your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)    Probability________

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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When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. If the global response center is called, there is a 4.4 percent chance that the flight will be diverted for an immediate landing. Suppose the response center is called 8,477 times in a given year.
 
(a) What is the expected number of diversions? (Round your answer to 2 decimal places.)
  

Expected Number_____


 
(b) What is the approximate normal probability of at least 364 diversions? (Round your standard deviation value to 4 decimal places and your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)
  

Probability______


 
(c) What is the approximate normal probability of fewer than 426 diversions? (Round your standard deviation value to 4 decimal places and your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)
  

Probability________
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