AP EAMCET · Maths · Probability
A manufacturer of locks knows that \(2 \%\) of his product is defective. If he sells the locks in boxes each with 100 locks and guarantees that not more than 2 locks will be defective in a box, then the probability that a box will fail to meet the guaranteed quality is
- A \(1-5 e^{-2}\)
- B \(\sum_{k=2}^{100}{ }^{100} C_k\left(\frac{1}{50}\right)^k\left(\frac{49}{50}\right)^{100-k}\)
- C 0.02
- D \(1-3 e^{-2}\)
Answer & Solution
Correct Answer
(A) \(1-5 e^{-2}\)
Step-by-step Solution
Detailed explanation
The random variable is the number of defective locks with mean \(m=100 \times \frac{2}{100}=2\) So, the required probability…
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