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Probability question

2024 · Shift 1 · Q30

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PYQ Library
JEE Advanced
Mathematics
Probability
2024 · Shift 1 · Q30

Probability question

2024 · Shift 1 · Q30

JEE AdvancedMathematicsProbabilityNumerical+4 / −1

Let

X

be a random variable, and let

P(X=x)

denote the probability that

X

takes the value

x

. Suppose that the points

(x, P(X=x)), x=0,1,2,3,4

, lie on a fixed straight line in the

x y

-plane, and

P(X=x)=0

for all

x \in \mathbb{R}-\{0,1,2,3,4\}

. If the mean of

X

is

\frac{5}{2}

, and the variance of

X

is

\alpha

, then the value of

24 \alpha

is

\underline{\hspace{2cm}}

.

Numerical answer

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