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In: Statistics and Probability

A process manufacturing resistors whose specifications are 1 kΩ ± 0.2 kΩ. The resistance of these...

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.

a. What is the probability that a randomly selected resistance does not meet the specifications? (5pts)

b. If 10 resistors are selected at random, what is the probability that there will be at least 1 out of specification? (3pts)

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? (7pts)

d. If 99.73% is desired to be within specifications, by how much will the standard deviation need to be reduced? (5 pts)

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orchestra answered 1 year ago
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