If the probability that the random variable X takes the value x is given by P(X=x)=k (x+1)3⁻ˣ, x=0,1,2,, where k is a constant, then P(X≥3) is equal to:

Statistics and Probability: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q62

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

If the probability that the random variable

X

takes the value

x

is given by

P(X=x)=k\,(x+1)3^{-x},\quad x=0,1,2,\dots,

where

k

is a constant, then

P(X\ge3)

is equal to: