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2 Unit 2: Applied Mathematics A

81%

A discrete random variable $X\,$ has the probability distribution:


$x$	0	1	2	3
$P (X = x)$	0.2	$a$	0.3	$b$

Where $a\,$ and $b\,$ are constants.

The cumulative distribution $F (x)$ of $X\,$ is given below.


$x$	0	1	2	3
$F (x)$	$c$	$d$	0.78	$e$

Where $c$ , $d\,$ and $e\,$ are constants.

Find the values of $a$ , $b$ , $c$ , $d\,$ and $e$ .

[5]

2 Unit 2: Applied Mathematics A Questions

81%

A discrete random variable $X\,$ has the probability distribution:


$x$	0	1	2	3
$P (X = x)$	0.2	$a$	0.3	$b$

Where $a\,$ and $b\,$ are constants.

The cumulative distribution $F (x)$ of $X\,$ is given below.


$x$	0	1	2	3
$F (x)$	$c$	$d$	0.78	$e$

Where $c$ , $d\,$ and $e\,$ are constants.

Find the values of $a$ , $b$ , $c$ , $d\,$ and $e$ .

[5]