The probability distribution of random variable $X$ is given by:

$X$ $1$ $2$ $3$ $4$ $5$

$P (X)$ $K$ $2 K$ $2 K$ $3 K$ $K$

Let $p = P (1 < X < 4 ∣ X < 3)$ . If $5 p = λ K$ , then $λ$ is equal to

Question

The probability distribution of random variable X is given by: X 1 2 3 4 5 P ( X ) K 2 K 2 K 3 K K Let p = P ( 1 &#60; X &#60; 4 &#8739; X &#60; 3 ) . If 5 p = &#955; K , then &#955; is equal to

Aicharya · Accepted Answer

&#931; P ( X ) = 1 &#8658; K + 2 K + 2 K + 3 K + K = 1 K = 1 9 P = P ( 1 &#60; X &#60; 4 &#8739; X &#60; 3 ) = P ( X = 2 ) P ( X &#60; 3 ) P = 2 K 9 K K 9 K + 2 k 9 K = 2 3 5 P = &#955; K 5 &#215; 2 3 = &#955; &#215; 1 9 &#8658; &#955; = 30

The probability distribution of random variable X is given by: X 1 2 3 4 5 P ( X ) K 2 K 2 K 3 K K Let p = P…

Solution