TS EAMCET · Maths · Probability
In a hospital, on an average if there are 35 births in a weak, then the probability that there will be less than 3 births in a day, is
- A \(\frac{118}{e^{35}}\)
- B \(\frac{37}{2 e^5}\)
- C \(\frac{6}{2 \cdot e^{35}}\)
- D \(1-\frac{118}{3 e^5}\)
Answer & Solution
Correct Answer
(B) \(\frac{37}{2 e^5}\)
Step-by-step Solution
Detailed explanation
Given, Average birth in a week \(=35\) \(\therefore\) Average birth in a day \(=\frac{35}{7}=5\) \(\therefore \lambda=5\) \(P(X < 3)=P(X=0)+P(X=1)+P(X \equiv 2)\) \(=\lambda^0 e^{-\lambda}+\frac{\lambda^1 e^{-\lambda}}{1 !}+\frac{\lambda^2 e^{-\lambda}}{2 !}\)…
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