GATE ME 2019 Set 2 — Question 50
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Engineering Mathematics → Statistics & Distributions → Binomial Distribution
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Question
The probability that a part manufactured by a company will be defective is 0.05. If 15 such parts are selected randomly and inspected, then the probability that at least two parts will be defective is ______ (round off to two decimal places).
Correct answer
0.16 to 0.18
Solution
The problem follows a binomial distribution with parameters and . The probability of having defective parts is given by . We need to find the probability that at least two parts are defective, which is .
1.Calculate :
2.Calculate :
3.Calculate :
Rounding to two decimal places, the probability is 0.17.Continue learning with Success Tracker
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