- The discrete random variable \(X\) has the following probability distribution
| \(x\) | \(a\) | \(b\) | \(c\) |
| \(\mathrm { P } ( X = x )\) | \(\log _ { 36 } a\) | \(\log _ { 36 } b\) | \(\log _ { 36 } c\) |
where
- \(\quad a , b\) and \(c\) are distinct integers \(( a < b < c )\)
- all the probabilities are greater than zero
- Find
- the value of a
- the value of \(b\)
- the value of \(c\)
Show your working clearly.
The independent random variables \(X _ { 1 }\) and \(X _ { 2 }\) each have the same distribution as \(X\)
Find \(\mathrm { P } \left( X _ { 1 } = X _ { 2 } \right)\)
\section*{Question 6 continued.}
\section*{Question 6 continued.}