Question:
If mean of a Poisson distribution of a random variable X is 2, then the value of P(X>1.5) is
If mean of a Poisson distribution of a random variable X is 2, then the value of P(X>1.5) is
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For Poisson distribution, probabilities are defined only at integers.
Updated On: Mar 18, 2026
- 3e²
- 3e
- 1-3e
- 1-3e²
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The Correct Option is D
Solution and Explanation
Step 1: Mean λ=2.
Step 2: P(X>1.5)=P(X\ge2)=1-[P(0)+P(1)]
Step 3: P(0)=e⁻², P(1)=2e⁻²
Step 4: P(X\ge2)=1-3e⁻²
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