A random variable has the following probability distribution:
| $X = x_i$ | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ |
| $P(X = X_i)$ | $0$ | $2p$ | $2p$ | $3p$ | $p^2$ | $2p^2$ | $7p^2$ | $2p$ |
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