GATE 2019 EE – Question 50
The probability of a resistor being defective is 0.02. There are 50 such resistors in a circuit. The probability of two or more defective resistors in the circuit is (round off to two decimal places) ________.
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Correct answer: 0.25 to 0.27
Explanation
Using the binomial distribution, $P(\ge2)=1-0.98^{50}-50(0.02)(0.98)^{49}=1-0.364-0.372=0.264\approx0.26$.