Problem 136

Problem 136

Battery Power Problem. A certain type of thermal battery for an airplane navigation device backup power has a mean life of 300 hours with a standard deviation of 15 hours.

What proportion of these batteries can be expected to have lives of 322 hours or less? Assume a normal distribution of backup power device lives.

 

Solution

 

Z = \frac{322-300}{15} = 1.47

P(z<1.47)= 0.9292

so 92.92% of all batteries can be expected to live 322 hours or less.

 

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