Final answer:
The expected number of diodes that will fail in the circuit board is 2.
Step-by-step explanation:
To find the expected number of diodes that will fail, we can multiply the probability of a diode failing by the total number of diodes. In this case, the probability of a diode failing is 0.01, and there are 200 diodes in the circuit board. So, the expected number of diodes that will fail is:
Expected number of diodes that will fail = Probability of failure x Total number of diodes
Expected number of diodes that will fail = 0.01 x 200 = 2