If a random variable X has the following probability distribution values

Then $P(X \geq 6)$ has the value

Let the vectors $\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$ be such that $|\bar{a}|=2,|\bar{b}|=4$ and $|\bar{c}|=4$. If the projection of $\bar{b}$ on $\bar{a}$ is equal to the projection of $\bar{c}$ on $\bar{a}$ and $\bar{b}$ is perpendicular to $\bar{c}$, then the value of $|\vec{a}+\bar{b}-\bar{c}|$ is

If the sum of the deviations of 50 observations from 30 is 50 , then the mean of these observations is

The general solution of the equation $\sqrt{3} \cos \theta+\sin \theta=\sqrt{2}$ is