A process manufacturing resistors whose specifications are 1 kΩ ± 0.2 kΩ.

A process manufacturing resistors whose specifications are 1 kΩ ± 0.2 kΩ. The resistance of these parts is known to follow a normal distribution with a mean of 1.03 kΩ and a standard deviation of 0.08 kΩ.

to. What is the probability that a randomly selected resistance does not meet the specifications?

b. If 10 resistors are selected at random, what is the probability that there will be at least 1 out of specification?

c. If 16 resistors are selected at random, what is the probability that the average of the 16 resistors is less than 1.05 kΩ?

d. If 99.73% is desired to be within specifications, by how much will the standard deviation need to be reduced?

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A process manufacturing resistors whose specifications are 1 kΩ ± 0.2 kΩ.

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