The breakdown voltage of a randomly chosen diode of a certain type is known to be normally distributed with mean value 40 V and standard deviation 1.5 V.
a. What is the probability that the voltage of a single diode is between 39 and 42?
b. What value is such that only 15% of all diodes have voltages exceeding that value?
c. If four diodes are independently selected, what is the probability that at least one has a voltage exceeding 42?
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