A random variable X has the following probability distribution: X… - Vidyadip

Question

A random variable $X$ has the following probability distribution:

X	$1$	$2$	$3$	$4$	$5$	$6$	$7$
P(X)	$K$	$2K$	$2K$	$3K$	$K^2$	$2K^2$	$7K^{2 + K}$

Determine (i) $k$, (ii) $P(X < 3)$, (iii)$ P(0 < X < 3)$, (iv) $P(X > 4)$.

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