Referring to Exercise 5.112, suppose the rotation speed of the coil can be increased and standard deviation decreased. Determine the new value for the standard deviation that would restrict the probability of an error greater than \(0.085 \mathrm{~V}\) to be less than 0.02 .

Data From Exercise 5.112

Transcribed Image Text:

5.112 A coil is rotated in a magnetic field to generate current. The voltage generated can be modeled by a normal dis- tribution having mean and standard deviation 0.5 V where u is the true voltage. Find the probability that voltage generated will differ from the true voltage by (a) less than 0.06 V; (b) more than 0.085 V.