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If the probability that random variable X takes values x is given by P ( X = x ) = k ( x + 1)3 – x , x = 0, 1, 2, 3, ….,…

Q1

If the probability that random variable X takes values x is given by P (X = x) = k (x + 1)3x, x = 0, 1, 2, 3, …., where k is a constant, then P (X \(\geq\) 2) is equal to

[JEE Main 2023, 08 Apr (Shift 2)]

a

\(\frac{7}{27}\)

b

\(\frac{11}{18}\)

c

\(\frac{7}{18}\)

d

\(\frac{20}{27}\)

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