Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityRandom Variable and its Probability DistributionMedium2 minPYQ_2005

MathematicsMediumsingle choice

A random variable $X$ has Poisson distribution with mean 2. Then $P (X > 1.5)$ equals

Answer:

Solution:

$P (x = k) = e^{- λ} \frac{λ ^{k}}{k !} P (x \geq 2) = 1 - P (x = 0) - P (x = 1) = 1 - e^{- λ} - e^{- λ} (\frac{λ}{1 !}) = 1 - \frac{3}{e ^{2}} .$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Random Variable and its Probability Distribution

⏱ 2mℹ️ Source: PYQ_2005

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