Probability
Probability Distribution — P(3<x≤6)
nta_pyq_2026_jan
Grade None
Question:
If a random variable $x$ has the probability distribution $P(x)$: $0,2k,k,3k,2k^2,2k,k^2+k,7k^2$ for $x=0,1,2,3,4,5,6,7$, then $P(3<x\leq6)$ is equal to
Step-by-Step Solution
Key Concept: Sum $=1$: $10k^2+9k-1=0\Rightarrow(10k-1)(k+1)=0\Rightarrow k=\tfrac{1}{10}$ (rejecting $k=-1$).
$k=\tfrac{1}{10}$. $P(3<x\leq6)=0.33$.
Correct Answer: 3