Question 6: If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms. a. What is the probability that an electric resistor has a resistance of 30 ohms? b. What is the probability that a random sample of 36 of these resistors will have a combined resistance of more than 1800 ohms? c. What is the probability that a random sample of 10 of these resistors will have a combined resistance of more than 540 ohms assuming a normal distribution for the resistance of electrical resistors?

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