Let X be a random variable which assumes values x_1, x_2, x_3, x_4 such that 2 P ( X = x_1)=3 P ( X = x_2)= P ( X = x_3)=5 P ( X = x_4). Find the…

Let X be a random variable which assumes values $\displaystyle \mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3}, \mathrm{x}_{4}$ such that $\displaystyle 2 \mathrm{P}\left(\mathrm{X}=\mathrm{x}_{1}\right)=3 \mathrm{P}\left(\mathrm{X}=\mathrm{x}_{2}\right)=\mathrm{P}\left(\mathrm{X}=\mathrm{x}_{3}\right)=5 \mathrm{P}\left(\mathrm{X}=\mathrm{x}_{4}\right)$. Find the probability distribution of X.