The probability distribution of random variable X is given by : | X | 1 | 2 | 3 | 4 | 5 | | P(X) | K | 2K | 2K | 3K | K | Let $p = P(1 < X < 4 \mid X < 3)$. If $5p = \lambda K$, then $\lambda$ is equal to __________.

JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 27 August 2021, Shift 2, Maths Q88

Question 88 of 90 in this shift, Maths question 28 of 30, Section B.

The probability distribution of random variable X is given by :

X	1	2	3	4	5
P(X)	K	2K	2K	3K	K

Let

p = P(1 < X < 4 \mid X < 3)

. If

5p = \lambda K

, then

\lambda

is equal to __________.

The figure, in words

A table with two rows: X = 1, 2, 3, 4, 5 and P(X) = K, 2K, 2K, 3K, K.

Official answer

NTA final key.