TS EAMCET · Maths · Probability
A typist claims that he prepares a typed page with typo errors of 1 per 10 pages. In a typing assignment of 40 pages, if the probability that the typo errors are at most 2 is p, then \(e^2 \mathrm{p}=\)
- A \(5\)
- B \(13\)
- C \(13 e^{-2}\)
- D \(5 e^{-2}\)
Answer & Solution
Correct Answer
(C) \(13 e^{-2}\)
Step-by-step Solution
Detailed explanation
\( \lambda = \frac{1}{10} \times 40 = 4 \) \( P(X \le 2) = P(X=0) + P(X=1) + P(X=2) \) \( p = \frac{e^{-4} 4^0}{0!} + \frac{e^{-4} 4^1}{1!} + \frac{e^{-4} 4^2}{2!} \) \( p = e^{-4} (1 + 4 + \frac{16}{2}) = e^{-4} (1+4+8) = 13e^{-4} \)…
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