The two most common types of errors made by programmers are syntax

errors and errors in logic. For a simple language such as BASIC the number

of such errors is usually small. Let X denote the number of syntax errors and

Y the number of errors in logic made on the first run of a BASIC program.

Assume that the joint density for $($X$,$Y$)$ is as shown in Table $1.$ Here, X has six

possible values $(0,1,2,3,4$ and $5)$ and Y has four possible values $(0,1,2$ and

$3).$