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Probability Distributions (p-2) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Probability Distributions (p-2)4 Marks
Question
A random variable $X$ has the following probability distribution.
X $1$ $2$ $3$ $4$ $5$ $6$ $7$
P(x) $K$ $2K$ $2K$ $3K$ $K^2$ $2K^2$ $7 K^2+K$
Determine (i) $k$, (ii) $P(X < 3)$, (iii) $P(X > 6)$, (iv) $P(0 < X < 3)$.
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