The JMH company manufactures resistors with an ideal resistance value of 400 ohms. A sample of 2000 resistors were tested and found to have a mean resistance of 391.5 with a standard deviation of 22.5 ohms. Assume normal distribution:
A) With manufacturing tolerance of +/- 10% (+/- 40 ohms) find the number of resistors from the sample that are satisfactory?
B)Repeat part (A) for a tolerance of 1%
C)Given the +/- 10% tolerance what is the probability that a partial resistor will be unusable?
D) Find the number of sample resistors with values exceeding 425 ohms.