A random variable X has the following probability distribution:

 Determine
(i) K (ii) `P(X lt 3)`
 (iii) `P(X gt 6)` (iv) `P(0 lt X lt 3)`

Answer

(i) `k=(1)/(10)`, (ii) `P(X lt 3)=(3)/(10)`, (iii) `P(X gt 6)=(17)/(100)`, (iv) `P(0 lt X lt 3)=(3)/(10)`