The life of strobe lights is distributed normally.  The standard deviation of the lifetime is 15 hours and the mean lifetime per strobe light is 520 hours.    A.  Find the z-value (standard score) for the x-value of 543 hours. Round your answer to the second decimal place as needed.  B.  Find the probability of a randomly selected one lasting for at least 543 hours.  Round it to four decimal places.  C. Using the standard normal curve below, label the following:   z-value (standard score) shade the area that represents the probability the numerical value of the probability

MATLAB: An Introduction with Applications
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The life of strobe lights is distributed normally.  The standard deviation of the lifetime is 15 hours and the mean lifetime per strobe light is 520 hours. 

 

A.  Find the z-value (standard score) for the x-value of 543 hours. Round your answer to the second decimal place as needed. 

B.  Find the probability of a randomly selected one lasting for at least 543 hours.  Round it to four decimal places. 

C. Using the standard normal curve below, label the following:  

  • z-value (standard score)
  • shade the area that represents the probability
  • the numerical value of the probability

 

D.  Write the answer you found in Part B as a complete sentence in the context of the given problem and express the probability as a percentage using the correct symbol. 

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