Question

The lifetime of carbon cutting tool is normally distributed with mean lifetime of 29 weeks and...

The lifetime of carbon cutting tool is normally distributed with mean lifetime of 29 weeks and standard deviation of 3 weeks. Find the probability that randomly selected tool has lifetime above 35 weeks ?

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given ,

mean = = 29

standard deviation = = 3

P(x >35 ) = 1 - P(x<35 )

= 1 - P[ X - ) / / < (35-29) /3 ]

= 1 - P(z < 2)

Using z table

= 1 - 0.9772

= 0.0228

probability= 0.0228

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