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The breakdown voltage of a randomly chosen diode of a certain type is normally distributed with mean 42V and variance 2.56V. a. Calculate the probability

The breakdown voltage of a randomly chosen diode of a certain type is normally distributed with mean 42V and variance 2.56V. 

a. Calculate the probability that the voltage of a diode is between 40V and 43V. 

b. Calculate the value of the voltage such that only 20% of all diodes with voltages exceeding that value. 

c. If five diodes are independently selected, calculate the probability that the at least one diode has a voltage exceeding 43V.

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