AP EAMCET · Maths · Probability
In a city it is found that 10 accidents took place in a span of 50 days. Assuming that the number of accidents follow the Poisson distribution, the probability that there will be 3 or more accidents in a day in that city is
- A \(1-(1.02) \mathrm{e}^{0.2}\)
- B \(1-(1.22) \mathrm{e}^{-0.2}\)
- C \(1-(1.2) \mathrm{e}^{0.2}\)
- D \(1-\frac{1.22}{\mathrm{e}^{-0.2}}\)
Answer & Solution
Correct Answer
(C) \(1-(1.2) \mathrm{e}^{0.2}\)
Step-by-step Solution
Detailed explanation
\(X \sim\) poisson \((\lambda)\) \(\operatorname{Mean}(\lambda)=\frac{10}{50}=\frac{1}{5}\) \(P(X \geq 3)=1-P(X=0)-P(X=1)-P(X=2)\)…
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