CUET · MATHS · PYQ PAPER 2025
1It is given that 3% of items manufactured by an industry are defective. The probability that a packet of 250 items contains one defective item is: [Given: \(e^{-7.5}\) 0.000553]
- A 0.00412
- B 0.00312
- C 0.00415
- D 0.00315
Answer & Solution
Correct Answer
(C) 0.00415
Step-by-step Solution
Detailed explanation
\(\lambda = np = 250 \times 0.03 = 7.5\) \(P(X=1) = \frac{\lambda^1 e^{-\lambda}}{1!} = \frac{7.5^1 e^{-7.5}}{1!}\) \(P(X=1) = 7.5 \times 0.000553 = 0.0041475\)
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