Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityRandom Variable and its Probability DistributionMedium2 minPYQ_2025

MathematicsMediumsingle choice

A coin is tossed three times. Let $X$ denote the number of times a tail follows a head. If $μ$ and $σ^{2}$ denote the mean and variance of $X$ , then the value of $64 (μ + σ^{2})$ is :

Options:

Answer:

Solution:

$μ = \sum x_{i} P_{i} = \frac{1}{2} σ^{2} = \sum x_{i}^{2} P_{i} - μ^{2} = \frac{1}{2} - \frac{1}{4} = \frac{1}{4} 64 (μ + σ^{2}) = 64 [\frac{1}{2} + \frac{1}{4}] = 64 \times \frac{3}{4} = 48$

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

⏱ 2mℹ️ Source: PYQ_2025

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