QJEEM22Ma7d27: JEE Main 2022 Mathematics - Class 12 JEEM22Ma7d27 Solution: A random variable X has the following probability distribution…

Question

Verified Solution • 2025–26 Session moderate

A random variable X has the following probability distribution :

X	0	1	2	3	4
P(X)	k	2k	4k	6k	8k

The value of P(1 < X < 4 | X $\leq$ 2) is equal to :

Accepted Answer

$∵$ x is a random variable

$∴$ $k + 2 k + 4 k + 6 k + 8 k = 1$

$∴$ $k = \frac{1}{21}$

Now, $P (1 < x < 4 | x \leq 2) = \frac{4 k}{7 k} = \frac{4}{7}$

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