1. F & G industries manufacturers a motor that is marketed with a warranty that guarantees it will be replaces free of charge if it fails within the first 13,000 hours of operation. On average, F & G, motors operate for 15,000 hours with a standard deviation of 1,250 hours before failing. The number of operating hours before failure is approximately normally distributed. a. What is the probability that a motor will have to be replaced free of charge

The value is

Step-by-step explanation:

From the question we are told that

  The number of hours considered  is  

   The population mean is

   The standard deviation is  

Generally the the probability that a motor will have to be replaced free of charge is mathematically represented as

From the z table the probability of  (Z<-1.6 ) is

So

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

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