Question
The value of $p$ for which $p(\hat{i}+\hat{j}+\hat{k})$ is a unit vector is
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| $X$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ |
| $P(X)$ | $a$ | $6 a$ | $6 a$ | $4 a$ | $8 a$ | $8 a$ | $6 a$ | $9 a$ |