The JMH Company manufactures resistors with an ideal resistance value of 400 ohms. A sample of 2 000 resistors were tested and found to have a mean resistance of 391.5 ohms with a standard deviation of 22.5 ohms. Assume a normal distribution.
(a) If the ideal resistor (400 ohms) has a manufacturing tolerance of ±10 percent (±40 ohms), find the number of resistors from the sample that are expected to be satisfactory.
(b) Repeat part (a) for a tolerance of 1 percent.
(c) Given a tolerance of ±10 percent, what is the probability that a particular resistor will be unusable?
(d) Find the number of sample resistors with values exceeding 425 ohms.
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