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The output voltage of a power supply is normally distributed with a mean 5 V and...

The output voltage of a power supply is normally distributed with a mean 5 V and standard deviation 0.02 V. The lower and upper specifications for the output voltage are 4.97 V and 5.01 V, respectively. What is the probability that the power supply conforms to the specifications?

Math   Statistics-And-Probability   
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Answer #1

Consider X is output voltage of a power supply

Also,

Since,  lower and upper specifications for the output voltage are 4.97 V and 5.01 V

Then,

   probability that the power supply conforms to the specifications = P(4.97<x<5.01)

= P(x<5.01) - P(x<4.97)

= 0.691 - 0.067

= 0.624

To obtain the normal probability, i have used excel---

the output of excel and command is ---

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