A coin is tossed three times. Let X denote the number of times a tail follows a head. If μ and σ² denote the mean and variance of X, then the value of 64(μ + σ²) is:

Statistics and Probability: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q216

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumStatistics and Probability258× since 2002

A coin is tossed three times. Let

X

denote the number of times a tail follows a head. If

\mu

and

\sigma^2

denote the mean and variance of

X

, then the value of

64(\mu + \sigma^2)

is: